/*****************************************************************************/ /* */ /* REGENERATE CYCLES */ /* 09/25/11 (dkc) */ /* */ /* This C program regenerates cycles for the 3n+c sequence given entry */ /* points. The number of even and odd elements in the extended sequences */ /* are counted. */ /* */ /* "jump=0" indicates a no-jump attachment point */ /* "jump=1" indicates a one-jump attachment point */ /* "jump=2" indicates a multiple-jump attachment point */ /* "jump=3" indicates a jumped-over attachment point */ /* */ /* "delta" denotes the number of odd elements in the jump minus j where */ /* t=u(mod 2^j) (for one-jump or multiple-jump attachment points). The */ /* domains of the cycles are also computed. */ /* */ /*****************************************************************************/ #include <stdio.h> #include <math.h> unsigned int euclid(unsigned int a, unsigned int b); unsigned int halbhung(unsigned int l, unsigned int n, unsigned int *M, unsigned int *N, unsigned int *sv, unsigned int *A, unsigned int *B, unsigned int *C, unsigned int *D, unsigned int *L, unsigned int *S, unsigned int m); int main () { int sin[4075+982]={-68, 2,38,1562,1496,374,1436,1334, 10, 8,2,62,26, 4,1048,262,358,844,682,454,574,502, -130,8,2,62,140,50, -374,-230,10,28, -7330,-19330,-8134,-11878,-7486,-9436,-14686,-12364,-9052,-12526,-23704, -5926,20,14,1244,392,98,110, -1502,-452,-242,88,22,28,34, -226,8,2,98,44,36902,1707830,1441016,360254,577232,144308,20306,7622,194366, 788552,197138,73934,41606,79082,18794, -380,34,106,58,52, 104,26,68, 76,58,46, 38,128,32,8,2, 28,16,4, 494,200,50,98,20,38,26,44,260,206,146,170, 814,400,100,178, 206,350,230, 64,16,4,28,244,82,634, 104,26,92,32,8,2,38,578,362,1064,266,740,434,596, 16,4,24958,5974,3850,2878,1258,586, 332,134,116,38,62, 1060,340,184,46,34, 248,62,116,13874,22472,5618,48488,12122,18692,7970,17042,41360,10340,22724, 58,40,10,22,202,94,166,328,82,958,1216,304,76,100,46, -14254,-5326,-1978,-3874,-18448,-4612,74,284,128,32,8,2,20, 136,34,268,70,46,88,22,28,142,460,106,172,52,64,16,4,1864,466,1060,658, 218,1052,314,566,1646,638,260, 142,112,28,214,2146,826,1174,2194,844,364,736,184,46, 266,122,68, 58,1018,748,220,64,16,4,400,100,118, -1426,416,104,26,74,254,2288,572,122,128,32,8,2,68,236,182,92, -2222,-1250,-1010,-5516,106,64,16,4,34,52, 224,56,14,98,62,200,50,44,116,152,38,74,92, 52,160,40,10,70,58,286,214,106,124,184,46, 68,86,80,20,230,194,176,44,554,1862,9104,2276,512,128,32,8,2, 2170,658,274,130,76, -13138,-13678,-5668,-5098,-3076,50,1064,266,128,32,8,2, -422,196,124,52,1036,442,964,286,136,34, -622,110,92,218,296,74,116,3698,4922,2162,2978,2654,3350,1286,512,128,32,8,2, 80,20,38,44,1196,254, -55928,-13982,-7166,-4340,-4178,-5042,-10244,790,520,130,238,670,562,202,106, 70,184,46,304,76,40,10,34,124,196,628,148,58,52, 32,8,2,926,752,188,3218,1238,734,764,572,136328,34082,12812,42584,10646,42764, 61538,23108,4364,8852,3002,29462, 94,82,220,274,382,154,166,1030,418,622,598,256,64,16,4, -133108,-70342,-21766,-155020,-146716,-41182,-43018,-60694,-108628,-756598, -638224,-159556,-29884,-31750,-134566,-170044,104,26,266,380,236,1694,668, 158,92,50,110,74,218,542,326,338,272,68, 142,358,460,352,88,22,298,1942,2728,682,250,226,118, 128,32,8,2,692,164,1916,1178,476,3212,776,194,206,13418,5066,1934,2726,2972, 3806,3374,80000,20000,5000,1250, -5366,-7886,-6374,-7022,-7034,-35102,-19658,-5468,-10316,-21602,-8066,-2990, -9182,-5078,-13556,-4982,-5942,-7238,-8858,-14546,-5420,-17624,-4406,-5294, -6446,-4694,-10154,-16472,-4118,-6062,-12098,-4502,-8876,-11612,-7724, -17240,-4310,-10328,-2582,-8492,-7994,-5798,-7418,-5414,706,484,202,538, 916,862,358,1510,490,868,220,76,142,88,22, 350,698,482,24476,18032,4508,33224,8306,7178,2384,596,1148,224,56,14,392, 98,1022,536,134,86,68,116,122,158, -1454,-482,-5486,-3758,64,16,4,328,82,166,184,46,94,802,226,616,154, 194,110,29450,8348,1868,608,152,38,4826,5798,4412,1334, 370,502,226,538,730,2854,1108,406,190,856,214,118,82,1018, 152,38,602,692,476,128,32,8,2,98, 52,76,544,136,34, 86,152,38,122,134,176,44,800,200,50,464,116,62,158,1286,824,206,314, 1012,1498,1324,508,136,34,238,130,172,184,46,58,4738,2116,886,658,472,118, 1822,724,352,88,22, 140,68,212,164,374,182,110,104,26,266,254,686,542,380, 154,100,88,22,118,172,1630,1576,394,190,250,136,34,766, 92,134,434,206,224,56,14,116,164,74,188, 1222,502,232,58,142,664,166,106,358,178,412,286,202,292, 374,320,80,20,2420,1466,5354,4730,6350,2426,3434,3110,1184,296,74, -39218,-12266,-136562,-57482,-54242,-30398,-11354,-165956,-46562,-26078, -9734,-173798,328,82,76,460,352,88,22,8050,3064,766,544,136,34,58,1732, 370,184,46,220,310,760,190, -29092,-18034,-75544,-18886,-7036,452,2882,3794,1148,704,176,44,128,32,8,2, 406,196,172,106,514,1000,250,604,160,40,10, 110,938,488,122,188,8450,54458,30752,7688,1922,9746,19466,12572,4994,22868, -51896,-12974,-36938,-50438,-18866,-26246,-9794,-34994,-73766,-27614,-7682, -13826,-145046,-54344,-13586,-11234,-24212,-31118,-33266,-29054,112,28, 220,322,1060,646,484,256,64,16,4,160,40,10,52,58,70,418,202,124,754,13714, 6790,3940,1006,1078,1456,364,1390,1402,574,1726, 3182,1484,860,2372,494,350,320,80,20,116,914,392,98,86,608,152,38,266,170, 134,2336,584,146,104,26, 220,118,94,154,208,52, 128,32,8,2,362,7796,3530,4880,1220,470,614,338,776,194,236,122, 344,86,254,146, 1288,322,172,316,214,424,106,286,268,586,376,94, 128,32,8,2,92,3338,1304,326,314,170,116,74,80,20,56,14, 260,350,3176,794,818,854,1880,470, 592,148,484,268,130,1474,4768,1192,298,502,292,214, 1418,932,2444,512,128,32,8,2,188,662,302,518,248,62, -6494,-4766,-1814,-626,-1850,-1490,-1634,-2174,-1394,1714,2980,514,1066,454,2200,550, 388,472,118,202,130,136,34,334,3172,460,244,100, 362,320,80,20, 82,334,1258,574,250,280,70,610,2332,694,316,142,262,154,226, 80,20,278,458,656,164,188,92,74,332,146,224,56,14,62, 292,112,28,94,196,178,124,184,46,304,76,232,58,130,106,148, 62,530,428,266,158,410,212,98,386,374,356,152,38,896,224,56, 14,698,320,80,20,4622,8312,2078,2030,7352,1838,3614,3326,14018,4652,1454, 11912,2978,8996,2222,7538,7052,5270,3110,6026,2318,5756,6746,2588,3302,3932,4892, 3938,4316, 406,352,88,22,76,1336,334,184,46,262,544,136,34,166, 182,128,32,8,2,488,122,218,272,68,5618,5024,1256,314,326,1094, 470,236,104,26,164,212,2432,608,152,38,74,3566,3188,1046,452, 298,172,622,2080,520,130,142,406,430,766,1792,448,112,28,250,154, 118,1054,14428,4840,1210,514, 206,398,344,86,83996,17894,22508,9602,3662,1352,338,188,4238,1964,2672,668, 88,22,70,700,526,256,64,16,4,274,3706,2956,616,154,160,40,10, 3886,2320,580,538,112,28,814,862, 338,500,8990,3434,4856,1214,518,446,230,728,182,22028,4874,22838,57830,55562, 179576,44894,16898,9662,3686,6314, 562,274,166,724,382,544,136,34,76,1048,262,3154,1246,1750,1396,88240, 22060,10966,7228,4342,3964,1018,334,346,208,52,118,400,100,82,94,64, 16,4, 176,44,194,680,170,128,32,8,2,2936,734,2732, 802,1342,568,142,118,1618,1072,268,178,262,892,232,58,964,484,298, 856,214,340,430,226, 548,1088,272,68,4736,1184,296,74,206,182,134,116,386,638,686,308, 254,584,146,902,404,278,170,260,422,224,56,14, 214,286,556,322,376,94,394,7348,1444,706,538,268,19654,8482,5794,3136, 784,196, 3146,7952,1988,440,110,230,3578,1124,278,554,1976,494,446,1202,518,878, 662,1880,470,716,1364,1688,422,986,566,1148,734,638,746,842,908,1004, 388,796,688,172,100,364,136,34,958, 2414,974,434,416,104,26,956,248,62,92,86,866,1064,266,482,536, 134,158,128,32,8,2, 2980,628,1036,766,604,802,370,208,52,262,550,664,166,358,5986,2314, 772,214,3142, 1196,512,128,32,8,2,296,74,98,200,50,272,68,152,38,218, 146,164,131444,24716,20582,6734,20636,30842,11636,2252,578,818, 160,40,10,952,238,3262,1294,556,202,7042,4138,5812,2788,1258,1696,424, 106,8458,16990,6442,8728,2182,11362,6568,1642, 248,62,206,332,134,122,2840,710,338,626,914,1112,278,176,44,80, 20,3518,908,242,1070,926,386,2060,458, 2200,550,490,256,64,16,4,580,208,52,82,460,310, 884,452,158,272,68,86,704,176,44, 5086,2248,562,5896,1474,1594,3862,1522,5704,1426,2404,4348,3214,1618,2458,1762, 1978,2782,1954,2302,3268,2788,2494, 620,218,434,398,224,56,14,80,20,290,350,206,152,38,3284,3152, 788,1106, 1012,274,178,142,268,1066,1492,1510,23542,11506,4390,10624,2656,664,166,3130, 232,58,148,304,76,1672,418, 266,176,44,662,824,206,536,134,374,968,242,644,224,56,14, 86,2912,728,182,296,74,104,26, 166,670,328,82,238,1264,316,136,34,13090,4384,1096,274,346,994, 640,160,40,10,1300,820,9688,2422,66550,28354,151168,37792,9448,2362,11182,4270,1678, 706,2722,1732,586, -66382,-532300,-168010,-62926,-118786,-70222,-250162,-78766,-166876,-298258,-62734,-222460,-176668,-111166,-633616,-158404, -237022,-199618,-83932,-104830,-279484,-117538,-279322,-104668,-331486,-222514,-62446,-278998,-156742,-65902,-469726,-395962, -148408,-37102,-104038,-104290,-220678,-186754,-139612,-87406,-370852,-77998,-92902,-496240,-124060,-311218,-87394,-331144, -82786,-92542,-130606,-246922,-92518,-86758,-521170,-164554,-61630,-68782,-274948,-274840,-68710,-488950,-412162,-246640, -61660,-109150,-91726,-153826,-145186,-325654,-182986,-68542,-153292,-51118,-458818,-193282,-91222,-128482,-192586,-72142, -228292,-143782,-90574,-607048,-151762,-113926,-681622,-383218,-107644,-84814,-42478,-1928212,-361462,-203128,-50782,-604456, -151114,-56590,-70990,-112558,-89662,-239242,-89638,-213046,-119644,-126214,-199876,-140974,-168028,-158470,-168190,-106078, -89134,-237202,-423340,-118870,-66670,-111586,-397420,-111580,-353572,-140326,-74158,-235474,-55534,-156526,-1066036,-199804, -105802,-39598,-98350,-185686,-104254,-392938,-147274,-55150,-73582,-350584,-87646,-261880,-65470,-109870,-207556,-416356, -58414,-122830,-184444,-232486,-312262,-131512,-32878,-260044,-122722,-259882,-97378,-146002,-463192,-115798,-64942,-162940, -244006,-115420,-289528,-72382,-345346,-103108,-242692,-106726,-253240,-63310,-200590,-253078,-142162,-190204,-567682,-286018, -120382,-127672,-31918,-106204,-159100,-299410,-52846,-502072,-125518,-168394,-63070,-178006,-99934,-83950,-561850,-210616, -52654,-175966,-148102,-102958,-194434,-137302,-77038,-217762,-434842,-162988,-45646,-434032,-108508,-90466,-322348,-151810, -1295368,-323842,-129028,-151756,-80446,-226510,-214456,-53614,-169420,-301354,-112930,-125566,-79294,-78286,-348982,-196108, -130012,-206242,-231100,-97126,-777634,-491596,-174328,-43582,-194116,-127582,-107278,-135142,-361714,-101596,-169366,-95074, -158290,-222622,-187468,-165580,-467080,-116770,-130054,-181150,-152476,-160510,-101218,-133198,-188746,-70702,-99502,-158236, -132322,-124774,-209500,-197836,-747232,-186808,-46702,-206404,-171430,-108070,-200644,-112390,-217372,-136924,-142204,-95782, -131074,-161116,-113854,-116878,-147292,-152638,-108130,722,2396,2252,500,5312,1328,332,140,104, 26,932,1910,794,1166,464,116,248,62,308, -2093642,-1177478,-441476,-185876,-52082,-219950,-61724,82,160,40,10,664,166,2152,538,280, 70,460,322,7342,9928,2482,29134,42334,40798,39340,11260,5122,20464,5116,2530,16012, 5482,2134,1396,340,142,3124,6040,1510,862,1432,358,376,94,1558,1072,268, 700,946,502,478,88,22,208,52, 854,902,25154,9512,2378,1928,482,260,128,32,8,2,80,20,2924,1610, 1226,1286, 1258,760,190,9682,8548,6178,6430,1948,700,238,664,166,142,592,148, 1202,878,410,962,638,320,80,20,392,98, 1228,904,226,166,526,742,1012,508,346, 542,848,212,122,128,32,8,2,704,176,44,218,164,950,740,248, 62,1346,866,2630,1676,590,4250, 334,208,52,394,1288,322,388,316,142,136,34,226,880,220,124,106, 6598,4708,1006,460, 596,1034,812,236,128,32,8,2,14822,5642,3158,1268,566,296,74,272, 68,1646,998,458,434,764,254,218,332,146, 292,2308,472,118,940,934,736,184,46,574,1798,1222,898,400,100, 376,94,3112,778,454,466,502,364,1492,1384,346,214,418, 9590,12830,7430,6674,2588,1454,2318,2006,7484, 796,262,184,46,208,52,472,118,130,1138,6106,7600,1900,442,1441828,1734034, 3293086,2084458,1172722,1113778,1410322,2008990,1271866,11032066,59645188,28308838,10615900,1119844,709348, 452,344,86,176,44,158,146,320,80,20,806,4394,6266,14312,3578,2660, 4808,1202,1526,3350,1094,776,194,326,92,104,26,434,1190,2054,15500,3584, 896,224,56,14, 196,124,550,1330,586,1486,1054,2224,556,574,430,460,1000,250,712,178, 154,334,406,2026,2842,952,238,352,88,22,412, 650,332,314,206,488,122,134,296,74,116,110,512,128,32,8,2, 4718,4400,1100,530,3080,770,638,5534,10340,1964,668,614,566,1802,764, 256,64,16,4,94,124,112,28,1222,436,2104,526,286,196,165994,105448, 26362,307582,115432,28858,84022,346948,110248,27562,426382,159982,60082,34018,146758,31162,68026,74506, 63286,61018,57706,36922,120514,73654,106378,90178,82402,150586,545386,345532,64876,182032,45508,99394, 91636,131974,42154,235654,56308,399436,56326,180688,45172,66082,60898,65074,36826,128068, 350,4172,872,218,1160,290,1526,662,338,770,1076,1808,452,968,242,1322, 1256,314,1832,458,482,674,836,764,1052, 94,508,802,2164,496,124,640,160,40,10,994,1210,544,136,34,382, 1696,424,106,130,490,274,316,562,226,724,1018,472,118,292,262,370, 868,280,70,388, 416,104,26,254,2612,7148,2678,4826,7814,12188,3656,914,434,176,44,452, 164,122,194, 718,1810,1564,1720,430,514,1396,622,538,532,376,94,232,58,262,190, 214,172,124,178,586,448,112,28, -1126,524,236,386,1766,1340,344,86,1070,494,278,2798,1142,818,692,1880, 470,5282,1964,5354,4958,1952,488,122,908,290,1466,2468,926,440,110,134, 200,50,260, 394,274,196,130,142,328,82,124,268,556,83986,31588,6016,1504,376,94, 286,880,220,454,826,2338,970,436,430,1960,490,592,148,184,46, 530,314,212,134,1652,404,170,158,140,116684,24884,4760,1190,674,626,350, 4064,1016,254,662,608,152,38,932,296,74,122, 3820,622,328,82,1714,1588,1120,280,70,244,820,796, 164,524,194,1460,650,920,230,182,596,18398,5342,1670,722,1064,266, 2144,536,134,146,578,2360,590, -24074,-10946,-88766,-27656,-6914,-45026,-56204,-10442,-61172,-16964,178,424,106,136,34, 3502,3412,736,184,46,496,124,8326,4924,3898,1558,934,766,5596,2818,628,214, 13292,20306,7712,1928,482,278,1142,4052,740,236,1496,374,3086,296,74,458, 4706,1862,1622,20654,6842,4616,1154,530,326,650,362,272,68,110, 556,202,358,232,58,346,418,1480,370,2884,3958,1582,616,154,454,268, 148,286,292,832,208,52, 266,1088,272,68,1544,386,464,116,518,1868,752,188,134,278,314,734, 374,1328,332,428, 490,1840,460,16744,4186,1768,442,298,2110,1450,2434,1012,316,352,88,22, 3092,680,170,164,398,812,3098,1262,1256,314,218,182,374,446,1802,776, 194,230,380,2714,1118,6176,1544,386,284,596,212,140,290,320,80,20, 104,26,110, 466,514,2188,484,388,658,622,334,226,8236,88372,216514,137548,14740,7786,7048, 1762,1414,574,316,160,40,10, -31996,-72010,-26902,-14878,-12070,-72388,-24760,-6190,668,272,68,512,128,32,8,2, 800,200,50,890,398,290,728,182,170,350,5264,1316,2018,2186,1484,380, 3968,992,248,62,542,998,476,530,2348,2258,112670,71954,137942,51830,19538,57752, 14438,5516,1136,284,218, 5992,1498,664,166,364,358,436,184,46,310,430,2806,1834,790,700, 688,172,304,76,5884,2968,742,1510, 872,218,242,194,176,44,3806,1844,440,110,320,80,20,7124,1958,3644, 4778,2390, 3178,982,472,118,148,598,328,82,562,1192,298,424,106,1102,1912, 478,316,226,2398,856,214,184,46, 308,1046,2822,1814,1550,686,362,1478,554,2126,902,878,434,506,2342,842, 1208,302,218,950,2018,2246,716,284,158,164,2090,5114,11090,6500, 214,1126,1450,592,148,808,202,286,424,106,268,502,1648,412,27424,6856, 1714,748,2098,892,514,298, 6632,1658,728,182,368,92,746,386,548,1046,854,1226,566,584,146,1772, 764,1196,602,332, 292,1096,274,2722,1798,2320,580,430,268,772,484,652,1192,298,1912,478, 286,214, -7870,-6706,-3550,338,1166,16070,6134,2408,602,608,152,38,122,554,800,200, 50,1850,1310,896,224,56,14,908,278,212,242,716,1004,296,74,134, 158,1376,344,86,140,410,500,584,146,518,302,1040,260,662,356,824, 206,680,170,572,314,446,350,404,422,266,476,7484,2606,1490,2948,6170, 3740,33242,18968,4742,1886, 364,388,244,154,166,2416,604,622,14296,3574,1846,1090,496,124,958,2092, 1036,562,2080,520,130,226,298,220,4654,10972,6220,2020,1336,334,796,850, 26524,11704,2926,5548,3604,784,196,2884,940,1588,406,832,208,52,118,6598, 3982,3874,3196,2902, 194,182,1118,902,1280,320,80,20,650,374,1130,2588,860,1388,1766,1616, 404,248,62,308,698,968,242,200,50,128,32,8,2,110,28982,37568, 9392,2348,29306, 478,2224,556,214,190,988,358,244,520,130,280,70,136,34,550,316, 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398,290,536,134,284,194,25184,6296,1574,986,3728,932,614,482,608,152, 38,1310,632,158,200,50,380,212,758,830,452,500,1460,3242,3404,1892, 884,1418,2450,1730,5306,4448,1112,278,1082,5792,1448,362,974,506,1784,446, 308,5186,7310,2882,3998,1640,410,9560,2390,6764,1670,716,698,5348,1856,464, 116,2288,572,248,62,164, 5002,1654,2572,1756,1306,5752,1438,1162,574,676,268,784,196,178,208,52, 5914,3736,934,10342,7912,1978,1762,802,442,916,376,94,406,19414,43912,10978, 4258,1738,736,184,46,334,1594,1918,1432,358,808,202,304,76,1144,286, 514, 476,1988,5426,10448,2612,632,158,704,176,44,368,92,1214,1700,488,122, 188,1046,944,236,422,1016,254,890, 304,76,850,1222,1282,1078,2158,952,238,232,58,688,172,274,526,340, 1174,580,520,130,430,2968,742,5164,976,244,1996,4576,1144,286,250, 386,9554,8744,2186,1754,1346,3482,2318,1268,716,278,248,62,662,392,98, 1292,1916,1562,1238,608,152,38,158,296,74, 1504,376,94,1588,442,310,4504,1126,994,532,244,190,5260,1840,460,490, 328,82,856,214,1264,316,1372,262,508,5638,3532,1354,652,544,136,34, 604,940,868,706,364,2344,586, 356,212,284,29234,11108,2228,1640,410,1598,1262,950,43976,10994,4268,3056,764, 578,362, 754,5176,1294,610,934,496,124,1612,448,112,28,340,460,232,58, 9548,2546,1496,374,362,2366,1034,10466,6254,2492,614,740,578,692,1574,1196, 274,250,328,82,178,214,880,220,430,610,376,94,814,826,490, 1258,1744,436,1186,592,148,3616,904,226,232,58,4930,1996,5902,3688,922,970, 4282,1462,1156,364, 188,6188,6548,1376,344,86,842,464,116,170,212,2174,3956,890,482, 11732,2348,2444,1058,566,1796,512,128,32,8,2,260,296,74,176,44,1958, 1472,368,92,878,1232,308,206, 8086,21208,5302,2776,694,832,208,52,2236,568,142,202,2062,922,3712,928, 232,58,1282,9544,2386,1714,1336,334,274,526,346, 1388,410,4844,1058,1604,6626,6302,4952,1238,614,380,1118,4046,1400,350, 1928,482}; unsigned char cflag[4075+982+1]={ 0, 0, 1, 2, 2, 2, 3, 3, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 3, 4, 5, 6, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 3, 4, 4, 5, 6, 6, 6, 7, 8, 9, 9, 9, 9, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 3, 4, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 4, 5, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 0, 0, 1, 1, 2, 2, 2, 2,3,3, 0, 0, 0, 1, 1, 2, 2, 2, 3, 4, 4, 5, 6, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 5, 5, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4,0,1,2,3,4,5,5,5,6,7,7,7,8,8,9,10,11,11,12,13, 13,14,14,14,15,16,17,18,18,19,20,20,21,22,23,23,23,24,24,25,26, 27,28,29,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,0,0,0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 4, 5, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,1,1,1,2,2,3,3,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,0,0, 0,0,1,2,3,4,5,6,6,6,6,6,6,6,6,6,6,6,6,7,7, 7,7,7,7,7,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1, 1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 1,1,2,2,3,3,4,4,5,5,6,6,7,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3, 4,4,4,5,5,6,7,7,8,9,9,10,10,11,12,12,13,14,15,16,17, 0,0,0,0,1,1,1,1,1,2,2,2,2,2,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3, 3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1, 1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0, 0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4, 4,5,5,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1, 1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,0,0,0,0, 0,0,0,0,0,1,1,2,0,0,0,0,0,1,1,1,1,1,2,2,2, 2,3,3,4,4,5,6,6,0,0,0,0,1,1,1,1,1,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0, 0,1,1,1,1,1,2,2,2,2,2,2,0,0,0,0,0,0,1,1,1, 1,2,2,2,3,3,4,4,5,5,5,6,7,7,8,9,10,11,12,13,14, 15,16,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2, 3,3,4,4,4,5,5,6,6,6,6,6,6,6,6,6,6,0,0,0,0, 0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2, 0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4, 4,4,5,5,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0, 0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,5,6,7,8, 9,10,11,12,13,14,15,0,0,0,0,0,0,0,0,0,1,1,1,1,1, 2,2,2,2, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1, 1,1,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2, 2,2,2,2,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3, 3,3,4,4,4,4,5,5,5,5,5,5,5,5,5,5,6,6,6,0,0, 0,0,1,2,2,3,3,3,3,4,5,5,6,6,7,7,7,8,9,9,10, 10,10,11,11,12,12,12,13,13,13,13,13,14,14,15,16,17,17,18,19,20, 20,21,21,22,22,23,24,24,24,25,25,25,25,26,27,28,28,28,29,29,29, 30,30,31,31,32,32,32,33,34,34,34,34,35,36,36,37,38,38,39,39,40, 41,41,41,41,42,42,42,42,42,43,43,43,43,43,44,45,45,46,46,47,48, 48,49,49,50,50,50,51,52,52,52,53,54,54,55,56,57,57,58,58,58,58, 58,58,59,59,59,60,60,60,61,61,61,62,62,63,63,63,63,64,65,66,66, 66,66,67,67,68,68,69,70,70,70,71,72,72,73,73,74,74,75,76,77,77, 77,78,78,79,80,80,80,80,80,81,82,83,84,84,84,84,84,85,85,85,86, 86,86,87,87,88,88,89,89,89,90,90,90,91,91,92,92,93,94,94,94,95, 96,97,97,97,98,99,99,100,101,102,103,103,104,104,105,105,106,106,106,106,107, 108,108,108,109,109,110,110,111,112,112,113,114,114,115,116,116,117,117,118,118,118, 119,119,120,120,121,121,122,122,122,123,124,124,125,126,127,127,128,129,130,131,131, 132,132,133,133,134,134,134,134,134,134,134,134,134,134,135,135,135,135,135,135,135, 135,135,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3, 3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1, 1,2,2,2,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,1,1, 1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1, 1,1,2,2,2,2,2,2,2,2,2,0,0,0,0,1,1,1,1,1,2, 2,2,2,2,2,3,3,3,3,4,4,4,5,5,6,6,6,7,0,0,0, 0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1, 1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3, 3,4,4,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4, 4,4,4,5,5,5,6,6,6,6,7,7,7,8,8,8,9,9,9,10,10, 10,11,11,11,11,11,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18, 18,19,0,0,0,0,1,1,2,2,2,3,3,4,4,5,5,5,6,6,7, 7,7,8,8,9,10,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1, 2,2,2,2,2,3,3,4,4,5,5,6,6,6,6,7,7,8,8,8,9, 0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,1,1,1,1,2,2, 2,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,5,5,5,5, 5,5,5,6,6,6,6,6,6,6,6,6,6,0,0,0,0,0,0,0,0, 0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2, 2,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3, 3,3,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4, 4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3, 3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,5,5,5,5,5,5, 5,5,5,5,5,5,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1, 1,1,1,1,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0, 1,1,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0, 0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0, 0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1, 1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,5,5,6, 6,6,7,7,7,7,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14, 14,15,16,16,17,18,19,19,20,21,21,21,22,22,22,23,23,23,23,0,0, 0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,3,3,3,3,3,0,0,0,0,0,0,0,0,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2, 2,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3, 3,3,3,3,3,3,4,4,4,5,5,5,6,6,7,7,7,8,8,9,9, 9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,0,0,0,0,0, 0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1, 1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1, 1,1,2,2,2,2,2,2,2,2,3,3,3,3,0,0,0,0,0,0,0, 0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3, 3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1, 1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3, 3,3,3,3,3,3,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5, 5,5,6,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8, 8,8,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,10,11,11,11, 11,11,11,11,11,12,12,12,12,12,12,13,13,13,13,13,13,13,13,14,14, 14,14,14,14,14,14,14,14,14,15,15,15,15,15,15,15,15,15,15,16,16, 16,16,16,16,16,16,16,17,17,17,17,17,17,17,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,0,0,1,1,1,2,2,3,4,4,5,5,6,6, 7,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,9,9, 9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3, 3,3,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4, 5,5,6,6,7,7,7,7,8,8,8,9,10,11,12,12,0,1,1,2,2, 3,3,4,4,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7, 7,8,8,9,9,9,10,10,10,11,11,12,12,12,12,12,12,13,13,14,14, 14,14,14,14,15,15,16,16,16,16,17,17,17,17,17,18,18,18,18,18,19, 19,20,20,20,20,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,0,0,1,2,2,3,4,5,6,7,7,7,7, 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7, 7,7,7,7,7,7,7,7,7,7,7,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2, 2,2,2,3,3,3,4,4,4,5,5,5,6,6,6,0,0,0,0,0,0, 0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3, 3,3,4,4,4,4,4,4,5,5,5,5,5,6,6,6,7,7,7,7,8, 8,8,8,9,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,17,17, 18,18,19,20,20,21,21,22,23,23,24,24,25,25,26,26,27,27,28,28,29, 29,30,30,31,31,32,33,34,35,36,37,37,38,38,39,40,40,40,41,42,43, 44,45,46,46,47,48,49, 0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3, 4,4,4,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6, 6,6,6,6,7,7,7,7,7,7,0,0,0,0,1,1,2,2,2,3,3, 4,4,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0, 0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2, 2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,0,0, 0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3, 3,4,4,5,5,6,6,7,7,8,8,9,9,10,11,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1, 1,2,2,2,2,2,2,2,0,0,1,2,2,2,2,2,2,2,2,2,2, 2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4, 4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0,1,1,1,1,1, 1,1,1,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0, 0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2, 2,2,2,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2, 2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,5,5,5,5, 5,5,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8, 9,9,9,9,9,9,9,0,0,0,0,0,1,1,1,1,1,1,1,1,1, 1,1,1,1,2,2,2,2,2,2,0,0,0,0,0,1,1,1,1,1,1, 2,2,2,2,2,2,2,2,2,3,3,3,3,3,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1, 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0, 0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,5,5,5, 6,6,6,6,6,6,6,6,6,7,7,8,8,9,9,9,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1, 2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0, 0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,2,2,2,2,3,3,3,3,0,0,0,0,0,0,0, 0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,0, 0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2, 255}; int cval[200]={1,5,7,11,13,17,19,23,25,29,31,35,37,41,43,47,49,53,55,59,61, 65,67,71,73,77,79,83,85,89,91,95,97,101,103,107,109,113,115, 119,121,125,127,131,133,137,139,143,145,149,151,155,157,161, 163,167,169,173,175,179,181,185,187,191,193,197,199,203,205, 209,211,215,217,221,223,227,229,233,235,239,241,245,247,251, 253,257,259,263,265,269,271,275,277,281,283,287,289,293,295, 299,301,305,307,311,313,317,319,323,325,329,331,335,337,341, 343,347,349,353,355,359,361,365,367,371,373,377,379,383,385, 389,391,395,397,401,403,407,409,413,415,419,421,425,427,431, 433,437,439,443,445,449,451,455,457,461,463,467,469,473,475, 479,481,485,487,491,493,497,499,503,505,509,511,515,517,521, 523,527,529,533,535,539,541,545,547,551,553,557,559,563,565, 569,571,575,577,581,583,587,589,593,595,599}; unsigned int size[200]={1,7,1,4,9,6,4,18,7,20,5,3,3,5,3,12,4,3,7,14,8,5,5,14, 15,13,20,7,13,3,10,17,10, 13,12,17,5,12,10,25,29,23,15,34,13,24,59,25,17,12,14,10,5,18,23,14,14,11,14, 15,34,16,11,15,52,25,6, 20,12,24,12,14,28,4,15,15,16,50,14,31,22,16,25,22,34,12,21,28,18,32,9,22,19, 28,25,25,13,9,23,18,23,23,36,298,56,18,15,10,9,23,20,26,28,9,29,36,27,31,62, 25,36,19,24,35,31,27,12,22,32,30,22,20,16, 35,23,53,23,18,23,30,22,20,18,69,52,35,57,21,26,12,13,31,30,13,21,146,17, 39,36,64,35,74,29,36,45,46,139, 52,13,38,39,24,38,15,20,42,22,4,47,11,28,13,38,67,24,25,15,70,49,24,31,26, 39,18,15,16,36,39,27,17}; unsigned int conv[27*2]={5,3,6,4,8,5,9,6,11,7,16,10,19,12,24,15,27,17,38,24, 46,29,57,36,65,41,76,48,84,53,130,82,149,94,168,106,233,147,252,159,317,200, 336,212,401,253,420,265,485,306,504,318,569,359}; unsigned int eofact[555*2]={1,1,2,1,1,2,3,2,3,1,1,3,2,3,4,3,4,1,1,4,3,4, 5,4,5,3,5,2,5,1,1,5,2,5,3,5,4,5,6,5,6,1,1,6,5,6, 7,6,7,5,7,4,7,3,7,2,7,1,1,7,2,7,3,7,4,7,5,7,6,7, 8,7,8,5,8,3,8,1,1,8,3,8,5,8,7,8, 9,8,9,7,9,5,9,4,9,2,9,1,1,9,2,9,4,9,5,9,7,9,8,9, 10,9,10,7,10,3,10,1,1,10,3,10,7,10,9,10, 11,10,11,9,11,8,11,7,11,6,11,5,11,4,11,3,11,2,11,1, 1,11,2,11,3,11,4,11,5,11,6,11,7,11,8,11,9,11,10,11, 12,11,12,7,12,5,12,1,1,12,5,12,7,12,11,12, 13,12,13,11,13,10,13,9,13,8,13,7,13,6,13,5,13,4,13,3,13,2,13,1, 1,13,2,13,3,13,4,13,5,13,6,13,7,13,8,13,9,13,10,13,11,13,12,13, 14,13,14,11,14,9,14,5,14,3,14,1,1,14,3,14,5,14,9,14,11,14,13,14, 15,14,15,13,15,11,15,8,15,7,15,4,15,2,15,1,1,15,2,15,4,15,7,15,8,15,11,15,13,15,14,15, 16,15,16,13,16,11,16,9,16,7,16,5,16,3,16,1,1,16,3,16,5,16,7,16,9,16,11,16,13,16,15,16, 17,16,17,15,17,14,17,13,17,12,17,11,17,10,17,9,17,8,17,7, 17,6,17,5,17,4,17,3,17,2,17,1,1,17,2,17,3,17,4,17,5,17, 6,17,7,17,8,17,9,17,10,17,11,17,12,17,13,17,14,17,15,17,16,17, 18,17,18,13,18,11,18,7,18,5,18,1,1,18,5,18,7,18,11,18,13,18,17,18, 19,18,19,17,19,16,19,15,19,14,19,13,19,12,19,11,19,10,19,9,19,8, 19,7,19,6,19,5,19,4,19,3,19,2,19,1,1,19,2,19,3,19,4,19,5,19,6,19, 7,19,8,19,9,19,10,19,11,19,12,19,13,19,14,19,15,19,16,19,17,19,18,19, 20,19,20,17,20,13,20,11,20,9,20,7,20,3,20,1,1,20,3,20,7,20,9,20,11,20,13,20,17,20,19,20, 21,20,21,19,21,17,21,16,21,13,21,11,21,10,21,8,21,5,21,4,21,2,21,1, 1,21,2,21,4,21,5,21,8,21,10,21,11,21,13,21,16,21,17,21,19,21,20,21, 22,21,22,19,22,17,22,15,22,13,22,9,22,7,22,5,22,3,22,1, 1,22,3,22,5,22,7,22,9,22,13,22,15,22,17,22,19,22,21,22, 23,22,23,21,23,20,23,19,23,18,23,17,23,16,23,15,23,14,23,13, 23,12,23,11,23,10,23,9,23,8,23,7,23,6,23,5,23,4,23,3,23,2,23,1, 1,23,2,23,3,23,4,23,5,23,6,23,7,23,8,23,9,23,10,23,11,23,12,23, 13,23,14,23,15,23,16,23,17,23,18,23,19,23,20,23,21,23,22,23, 24,23,24,19,24,17,24,13,24,11,24,7,24,5,24,1,1,24,5,24,7,24,11,24,13,24,17,24,19,24,23,24, 25,24,25,23,25,22,25,21,25,19,25,18,25,17,25,16,25,14,25,13,25,12,25,11, 25,9,25,8,25,7,25,6,25,4,25,3,25,2,25,1,1,25,2,25,3,25,4,25,6,25,7,25,8,25, 9,25,11,25,12,25,13,25,14,25,16,25,17,25,18,25,19,25,21,25,22,25,23,25,24,25, 26,25,26,23,26,21,26,19,26,17,26,15,26,11,26,9,26,7,26,5,26,3,26,1, 1,26,3,26,5,26,7,26,9,26,11,26,15,26,17,26,19,26,21,26,23,26,25,26, 27,26,27,25,27,23,27,22,27,20,27,19,27,17,27,16,27,14,27,13,27,11,27,10,27,8,27,7,27,5,27,4,27,2,27,1, 1,27,2,27,4,27,5,27,7,27,8,27,10,27,11,27,13,27,14,27,16,27,17,27,19,27,20,27,22,27,23,27,25,27,26,27, 28,27,28,25,28,23,28,19,28,17,28,15,28,13,28,11,28,9,28,5,28,3,28,1, 1,28,3,28,5,28,9,28,11,28,13,28,15,28,17,28,19,28,23,28,25,28,27,28, 29,28,29,27,29,26,29,25,29,24,29,23,29,22,29,21,29,20,29,19,29,18,29,17, 29,16,29,15,29,14,29,13,29,12,29,11,29,10,29,9,29,8,29,7,29,6,29,5,29,4,29,3,29,2,29,1, 1,29,2,29,3,29,4,29,5,29,6,29,7,29,8,29,9,29,10,29,11,29,12,29,13,29,14,29, 15,29,16,29,17,29,18,29,19,29,20,29,21,29,22,29,23,29,24,29,25,29,26,29,27,29,28,29, 30,29,30,23,30,19,30,17,30,13,30,11,30,7,30,1, 1,30,7,30,11,30,13,30,17,30,19,30,23,30,29,30}; unsigned int eocount=555; unsigned int ln[5000]={ 0x00030002, 0x00050003, 0x00080005, 0x000B0007, 0x000D0008, 0x0010000A, 0x0013000C, 0x0015000D, 0x0018000F, 0x001B0011, 0x001E0013, 0x00200014, 0x00230016, 0x00260018, 0x00280019, 0x002B001B, 0x002E001D, 0x0031001F, 0x00330020, 0x00360022, 0x00390024, 0x003B0025, 0x003E0027, 0x00410029, 0x0044002B, 0x0046002C, 0x0049002E, 0x004C0030, 0x004E0031, 0x00510033, 0x00540035, 0x00560036, 0x00590038, 0x005C003A, 0x005F003C, 0x0061003D, 0x0064003F, 0x00670041, 0x00690042, 0x006C0044, 0x006F0046, 0x00720048, 0x00740049, 0x0077004B, 0x007A004D, 0x007C004E, 0x007F0050, 0x00820052, 0x00850054, 0x00870055, 0x008A0057, 0x008D0059, 0x008F005A, 0x0092005C, 0x0095005E, 0x00980060, 0x009A0061, 0x009D0063, 0x00A00065, 0x00A20066, 0x00A50068, 0x00A8006A, 0x00AA006B, 0x00AD006D, 0x00B0006F, 0x00B30071, 0x00B50072, 0x00B80074, 0x00BB0076, 0x00BD0077, 0x00C00079, 0x00C3007B, 0x00C6007D, 0x00C8007E, 0x00CB0080, 0x00CE0082, 0x00D00083, 0x00D30085, 0x00D60087, 0x00D90089, 0x00DB008A, 0x00DE008C, 0x00E1008E, 0x00E3008F, 0x00E60091, 0x00E90093, 0x00EC0095, 0x00EE0096, 0x00F10098, 0x00F4009A, 0x00F6009B, 0x00F9009D, 0x00FC009F, 0x00FE00A0, 0x010100A2, 0x010400A4, 0x010700A6, 0x010900A7, 0x010C00A9, 0x010F00AB, 0x011100AC, 0x011400AE, 0x011700B0, 0x011A00B2, 0x011C00B3, 0x011F00B5, 0x012200B7, 0x012400B8, 0x012700BA, 0x012A00BC, 0x012D00BE, 0x012F00BF, 0x013200C1, 0x013500C3, 0x013700C4, 0x013A00C6, 0x013D00C8, 0x014000CA, 0x014200CB, 0x014500CD, 0x014800CF, 0x014A00D0, 0x014D00D2, 0x015000D4, 0x015200D5, 0x015500D7, 0x015800D9, 0x015B00DB, 0x015D00DC, 0x016000DE, 0x016300E0, 0x016500E1, 0x016800E3, 0x016B00E5, 0x016E00E7, 0x017000E8, 0x017300EA, 0x017600EC, 0x017800ED, 0x017B00EF, 0x017E00F1, 0x018100F3, 0x018300F4, 0x018600F6, 0x018900F8, 0x018B00F9, 0x018E00FB, 0x019100FD, 0x019400FF, 0x01960100, 0x01990102, 0x019C0104, 0x019E0105, 0x01A10107, 0x01A40109, 0x01A6010A, 0x01A9010C, 0x01AC010E, 0x01AF0110, 0x01B10111, 0x01B40113, 0x01B70115, 0x01B90116, 0x01BC0118, 0x01BF011A, 0x01C2011C, 0x01C4011D, 0x01C7011F, 0x01CA0121, 0x01CC0122, 0x01CF0124, 0x01D20126, 0x01D50128, 0x01D70129, 0x01DA012B, 0x01DD012D, 0x01DF012E, 0x01E20130, 0x01E50132, 0x01E80134, 0x01EA0135, 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0x2EBA1D7B, 0x2EBD1D7D, 0x2EC01D7F, 0x2EC21D80, 0x2EC51D82, 0x2EC81D84, 0x2ECB1D86, 0x2ECD1D87, 0x2ED01D89, 0x2ED31D8B, 0x2ED51D8C, 0x2ED81D8E, 0x2EDB1D90, 0x2EDE1D92, 0x2EE01D93, 0x2EE31D95, 0x2EE61D97, 0x2EE81D98, 0x2EEB1D9A, 0x2EEE1D9C, 0x2EF01D9D, 0x2EF31D9F, 0x2EF61DA1, 0x2EF91DA3, 0x2EFB1DA4, 0x2EFE1DA6, 0x2F011DA8, 0x2F031DA9, 0x2F061DAB, 0x2F091DAD, 0x2F0C1DAF, 0x2F0E1DB0, 0x2F111DB2, 0x2F141DB4, 0x2F161DB5, 0x2F191DB7, 0x2F1C1DB9, 0x2F1F1DBB, 0x2F211DBC, 0x2F241DBE, 0x2F271DC0, 0x2F291DC1, 0x2F2C1DC3, 0x2F2F1DC5, 0x2F321DC7, 0x2F341DC8, 0x2F371DCA, 0x2F3A1DCC, 0x2F3C1DCD, 0x2F3F1DCF, 0x2F421DD1, 0x2F441DD2, 0x2F471DD4, 0x2F4A1DD6, 0x2F4D1DD8, 0x2F4F1DD9, 0x2F521DDB, 0x2F551DDD, 0x2F571DDE, 0x2F5A1DE0, 0x2F5D1DE2, 0x2F601DE4, 0x2F621DE5, 0x2F651DE7, 0x2F681DE9, 0x2F6A1DEA, 0x2F6D1DEC, 0x2F701DEE, 0x2F731DF0, 0x2F751DF1, 0x2F781DF3, 0x2F7B1DF5, 0x2F7D1DF6, 0x2F801DF8, 0x2F831DFA, 0x2F851DFB, 0x2F881DFD, 0x2F8B1DFF, 0x2F8E1E01, 0x2F901E02, 0x2F931E04, 0x2F961E06, 0x2F981E07, 0x2F9B1E09, 0x2F9E1E0B, 0x2FA11E0D, 0x2FA31E0E, 0x2FA61E10, 0x2FA91E12, 0x2FAB1E13, 0x2FAE1E15, 0x2FB11E17, 0x2FB41E19, 0x2FB61E1A, 0x2FB91E1C, 0x2FBC1E1E, 0x2FBE1E1F, 0x2FC11E21, 0x2FC41E23, 0x2FC71E25, 0x2FC91E26, 0x2FCC1E28, 0x2FCF1E2A, 0x2FD11E2B, 0x2FD41E2D, 0x2FD71E2F, 0x2FD91E30, 0x2FDC1E32, 0x2FDF1E34, 0x2FE21E36, 0x2FE41E37, 0x2FE71E39, 0x2FEA1E3B, 0x2FEC1E3C, 0x2FEF1E3E, 0x2FF21E40, 0x2FF51E42, 0x2FF71E43, 0x2FFA1E45, 0x2FFD1E47, 0x2FFF1E48, 0x30021E4A, 0x30051E4C, 0x30081E4E, 0x300A1E4F, 0x300D1E51, 0x30101E53, 0x30121E54, 0x30151E56, 0x30181E58, 0x301B1E5A, 0x301D1E5B, 0x30201E5D, 0x30231E5F, 0x30251E60, 0x30281E62, 0x302B1E64, 0x302D1E65, 0x30301E67, 0x30331E69, 0x30361E6B, 0x30381E6C, 0x303B1E6E, 0x303E1E70, 0x30401E71, 0x30431E73, 0x30461E75, 0x30491E77, 0x304B1E78, 0x304E1E7A, 0x30511E7C, 0x30531E7D, 0x30561E7F, 0x30591E81, 0x305C1E83, 0x305E1E84, 0x30611E86, 0x30641E88, 0x30661E89, 0x30691E8B, 0x306C1E8D, 0x306F1E8F, 0x30711E90, 0x30741E92, 0x30771E94, 0x30791E95, 0x307C1E97, 0x307F1E99, 0x30811E9A, 0x30841E9C, 0x30871E9E, 0x308A1EA0, 0x308C1EA1, 0x308F1EA3, 0x30921EA5, 0x30941EA6, 0x30971EA8, 0x309A1EAA, 0x309D1EAC, 0x309F1EAD, 0x30A21EAF, 0x30A51EB1, 0x30A71EB2, 0x30AA1EB4, 0x30AD1EB6, 0x30B01EB8, 0x30B21EB9, 0x30B51EBB, 0x30B81EBD, 0x30BA1EBE, 0x30BD1EC0, 0x30C01EC2, 0x30C31EC4, 0x30C51EC5, 0x30C81EC7, 0x30CB1EC9, 0x30CD1ECA, 0x30D01ECC, 0x30D31ECE, 0x30D51ECF, 0x30D81ED1, 0x30DB1ED3, 0x30DE1ED5, 0x30E01ED6, 0x30E31ED8, 0x30E61EDA, 0x30E81EDB, 0x30EB1EDD, 0x30EE1EDF, 0x30F11EE1, 0x30F31EE2, 0x30F61EE4, 0x30F91EE6, 0x30FB1EE7, 0x30FE1EE9, 0x31011EEB, 0x31041EED, 0x31061EEE, 0x31091EF0, 0x310C1EF2, 0x310E1EF3, 0x31111EF5, 0x31141EF7, 0x31171EF9, 0x31191EFA, 0x311C1EFC, 0x311F1EFE, 0x31211EFF, 0x31241F01, 0x31271F03, 0x31291F04, 0x312C1F06, 0x312F1F08, 0x31321F0A, 0x31341F0B, 0x31371F0D, 0x313A1F0F, 0x313C1F10, 0x313F1F12, 0x31421F14, 0x31451F16, 0x31471F17, 0x314A1F19, 0x314D1F1B, 0x314F1F1C, 0x31521F1E, 0x31551F20, 0x31581F22, 0x315A1F23, 0x315D1F25, 0x31601F27, 0x31621F28, 0x31651F2A, 0x31681F2C, 0x316A1F2D, 0x316D1F2F, 0x31701F31, 0x31731F33, 0x31751F34, 0x31781F36, 0x317B1F38, 0x317D1F39, 0x31801F3B, 0x31831F3D, 0x31861F3F, 0x31881F40, 0x318B1F42, 0x318E1F44, 0x31901F45, 0x31931F47, 0x31961F49, 0x31991F4B, 0x319B1F4C, 0x319E1F4E, 0x31A11F50, 0x31A31F51, 0x31A61F53, 0x31A91F55, 0x31AC1F57, 0x31AE1F58, 0x31B11F5A, 0x31B41F5C, 0x31B61F5D, 0x31B91F5F, 0x31BC1F61, 0x31BE1F62, 0x31C11F64, 0x31C41F66, 0x31C71F68, 0x31C91F69, 0x31CC1F6B, 0x31CF1F6D, 0x31D11F6E, 0x31D41F70, 0x31D71F72, 0x31DA1F74, 0x31DC1F75, 0x31DF1F77, 0x31E21F79, 0x31E41F7A, 0x31E71F7C, 0x31EA1F7E, 0x31ED1F80, 0x31EF1F81, 0x31F21F83, 0x31F51F85, 0x31F71F86, 0x31FA1F88, 0x31FD1F8A, 0x32001F8C, 0x32021F8D, 0x32051F8F, 0x32081F91, 0x320A1F92, 0x320D1F94, 0x32101F96, 0x32121F97, 0x32151F99, 0x32181F9B, 0x321B1F9D, 0x321D1F9E, 0x32201FA0, 0x32231FA2, 0x32251FA3, 0x32281FA5, 0x322B1FA7, 0x322E1FA9, 0x32301FAA, 0x32331FAC, 0x32361FAE, 0x32381FAF, 0x323B1FB1, 0x323E1FB3, 0x32411FB5, 0x32431FB6, 0x32461FB8, 0x32491FBA, 0x324B1FBB, 0x324E1FBD, 0x32511FBF, 0x32541FC1, 0x32561FC2, 0x32591FC4, 0x325C1FC6, 0x325E1FC7, 0x32611FC9, 0x32641FCB, 0x32661FCC, 0x32691FCE, 0x326C1FD0, 0x326F1FD2, 0x32711FD3, 0x32741FD5, 0x32771FD7, 0x32791FD8, 0x327C1FDA, 0x327F1FDC, 0x32821FDE, 0x32841FDF, 0x32871FE1, 0x328A1FE3, 0x328C1FE4, 0x328F1FE6, 0x32921FE8, 0x32951FEA, 0x32971FEB, 0x329A1FED, 0x329D1FEF, 0x329F1FF0, 0x32A21FF2, 0x32A51FF4, 0x32A81FF6, 0x32AA1FF7, 0x32AD1FF9, 0x32B01FFB, 0x32B21FFC, 0x32B51FFE, 0x32B82000, 0x32BA2001, 0x32BD2003, 0x32C02005, 0x32C32007, 0x32C52008, 0x32C8200A, 0x32CB200C, 0x32CD200D, 0x32D0200F, 0x32D32011, 0x32D62013, 0x32D82014, 0x32DB2016, 0x32DE2018, 0x32E02019, 0x32E3201B, 0x32E6201D, 0x32E9201F, 0x32EB2020, 0x32EE2022, 0x32F12024, 0x32F32025, 0x32F62027, 0x32F92029, 0x32FC202B, 0x32FE202C, 0x3301202E, 0x33042030, 0x33062031, 0x33092033, 0x330C2035, 0x330E2036, 0x33112038, 0x3314203A, 0x3317203C, 0x3319203D, 0x331C203F, 0x331F2041, 0x33212042, 0x33242044, 0x33272046, 0x332A2048, 0x332C2049, 0x332F204B, 0x3332204D, 0x3334204E, 0x33372050, 0x333A2052, 0x333D2054, 0x333F2055, 0x33422057, 0x33452059, 0x3347205A, 0x334A205C, 0x334D205E, 0x33502060, 0x33522061, 0x33552063, 0x33582065, 0x335A2066, 0x335D2068, 0x3360206A, 0x3362206B, 0x3365206D, 0x3368206F, 0x336B2071, 0x336D2072, 0x33702074, 0x33732076, 0x33752077, 0x33782079, 0x337B207B, 0x337E207D, 0x3380207E, 0x33832080, 0x33862082, 0x33882083, 0x338B2085, 0x338E2087, 0x33912089, 0x3393208A, 0x3396208C, 0x3399208E, 0x339B208F, 0x339E2091, 0x33A12093, 0x33A32094, 0x33A62096, 0x33A92098, 0x33AC209A, 0x33AE209B, 0x33B1209D, 0x33B4209F, 0x33B620A0, 0x33B920A2, 0x33BC20A4, 0x33BF20A6, 0x33C120A7, 0x33C420A9, 0x33C720AB, 0x33C920AC, 0x33CC20AE, 0x33CF20B0, 0x33D220B2, 0x33D420B3, 0x33D720B5, 0x33DA20B7, 0x33DC20B8, 0x33DF20BA, 0x33E220BC, 0x33E520BE, 0x33E720BF, 0x33EA20C1, 0x33ED20C3, 0x33EF20C4, 0x33F220C6, 0x33F520C8, 0x33F720C9, 0x33FA20CB, 0x33FD20CD, 0x340020CF, 0x340220D0, 0x340520D2, 0x340820D4, 0x340A20D5, 0x340D20D7, 0x341020D9, 0x341320DB, 0x341520DC, 0x341820DE, 0x341B20E0, 0x341D20E1, 0x342020E3, 0x342320E5, 0x342620E7, 0x342820E8, 0x342B20EA, 0x342E20EC, 0x343020ED, 0x343320EF, 0x343620F1, 0x343920F3, 0x343B20F4, 0x343E20F6, 0x344120F8, 0x344320F9, 0x344620FB, 0x344920FD, 0x344B20FE, 0x344E2100, 0x34512102, 0x34542104, 0x34562105, 0x34592107, 0x345C2109, 0x345E210A, 0x3461210C, 0x3464210E, 0x34672110, 0x34692111, 0x346C2113, 0x346F2115, 0x34712116, 0x34742118, 0x3477211A, 0x347A211C, 0x347C211D, 0x347F211F, 0x34822121, 0x34842122, 0x34872124, 0x348A2126, 0x348D2128, 0x348F2129, 0x3492212B, 0x3495212D, 0x3497212E, 0x349A2130, 0x349D2132, 0x349F2133, 0x34A22135, 0x34A52137, 0x34A82139, 0x34AA213A, 0x34AD213C, 0x34B0213E, 0x34B2213F, 0x34B52141, 0x34B82143, 0x34BB2145, 0x34BD2146, 0x34C02148, 0x34C3214A, 0x34C5214B, 0x34C8214D, 0x34CB214F, 0x34CE2151, 0x34D02152, 0x34D32154, 0x34D62156, 0x34D82157, 0x34DB2159, 0x34DE215B, 0x34E1215D, 0x34E3215E, 0x34E62160, 0x34E92162, 0x34EB2163}; int hflag=0; // selects which c value to histogram k values int hflag1=0; // selects which c value to histogram j values unsigned int indmin=6; // selects (l,m) value unsigned int indmax=6; // Note: Could include different (l,m) values. unsigned int bypass=1; // normally set to 1 unsigned int wflag=1; // normally set to 0 unsigned int infin=0; // normally set to 0 unsigned int ewrite=1; // normally set to 0 unsigned int eowrite=0; // normally set to 0 unsigned int efact,ofact,x,ncyc[20]; int k,max,temp,order,s[500],t,u,savek,oldk,c,olds,cmax,cmin,delta,locmin,locmax; unsigned int g,h,i,m,iters,j,count,first,odds,evens,flag,lodds,levens,jump,jcnt; unsigned int flag0,offset,index,sumtu,total,stu[1000*2],county,countn,countx; unsigned int histo[100],mincnt,hismin[10],savjmp,second,histoj[100],histom[10]; int lastodd,glomax,usave,tmps,cyccnt,mcount,hcount,icount,lcount,oddsum,oldt,oldu; unsigned int jumps[500],mflag,attcnt,savind,newhis[100],oldhis[100],histon[20]; unsigned int histoh[100],histoi[100],histox[100],badcnt,badcntu,primary,jmpcnt; unsigned int firstt,savcnt,savjump,jmphop,twojmp,tmpcnt,lasthop,glohop,glojmp; unsigned int twojmp0,twojmp1,twojmp2,twojmp3,tmpjump,jmpsum,offset1,histoy[100]; int glomin,a,badcomp,savet,lastt,lalat,jsum,evensum,hsum,compcnt,sum,offset5; unsigned int histoz[100],histow[100],histov[100],histos[100],offset2,badtucnt,tempi; unsigned int concov[27*3],histot[30],histou[30],offset4,histoa[30],histob[30]; unsigned int concove[27*3],patcnt,cyccntu,cyccntb,histor[100],equcnt,histoc[400]; unsigned int histod[400],offset6,histoe[100],sumtuc,maxtuc,mintuc,maxtu,mintu; unsigned int lamcnt,lamcntc,onecnt,kl[50*2],klcount,kle[50*2],klecount; unsigned int klp[50*2],klpcount,histof[100],ii,histodd[400]; int savec,ksave,savecp,ksavep,tsave,utemp,ttemp; unsigned int outcnt[200],wrap,EM[4],EN[4],sv[2002],A[16],B[16],C[16],D[16],L[16],S[16],em; unsigned int outkl[1000*2],outklind,cycsav[100*2],cycsavind; double lambda,d,dmin,dmax,del,maxdel,mindel,sumrec,tempf,chain,rat,oldchn,bp,bm; double ratdel,tempg,cap,cam,savchain,tmpchain,maxcmp,mean,std,var,maxminrat; double minmaxrat,maxminratc,minmaxratc,maxdiff; unsigned int flubs,flubx,pcount,chhist[40],jj,onehist[40],d2hist[40]; unsigned int maxt,maxu,mint,minu,sumt,sumu,kk,ut[1000],sumtu1; double lambdat,lambdau,lambda1,lambda2,lambda3; unsigned int l1flag,l2flag,l3flag,d1hist[40],d3hist[40],histoo[200]; FILE *Outfp; Outfp = fopen("out0ce.dat","w"); flubs=0; flubx=0; maxdiff=0; pcount=0; em=16; // number of words for (i=0; i<40; i++) { chhist[i]=0; onehist[i]=0; } for (i=0; i<40; i++) { d1hist[i]=0; d2hist[i]=0; d3hist[i]=0; } if (eowrite==0) { eocount=1; } else { for (i=0; i<20; i++) ncyc[i]=0; } for (x=0; x<eocount; x++) { efact=eofact[2*x]; ofact=eofact[2*x+1]; if (eowrite==1) { printf("efact=%d, ofact=%d \n",efact,ofact); fprintf(Outfp,"efact=%d, ofact=%d \n",efact,ofact); } for (i=0; i<100; i++) { histo[i]=0; histoj[i]=0; newhis[i]=0; oldhis[i]=0; histoh[i]=0; histoi[i]=0; histox[i]=0; histoy[i]=0; histoz[i]=0; histow[i]=0; histov[i]=0; histos[i]=0; histor[i]=0; histoe[i]=0; histof[i]=0; } for (i=0; i<10; i++) { hismin[i]=0; histom[i]=0; } for (i=0; i<20; i++) histon[i]=0; for (i=0; i<27*3; i++) { concov[i]=0; concove[i]=0; } for (i=0; i<30; i++) { histot[i]=0; histou[i]=0; histoa[i]=0; histob[i]=0; } for (i=0; i<400; i++) { histoc[i]=0; histod[i]=0; histodd[i]=0; } for (i=0; i<200; i++) { outcnt[i]=0; histoo[i]=0; } for (i=0; i<1000; i++) { outkl[2*i]=0; outkl[2*i+1]=0; } outklind=0; onecnt=0; badcnt=0; badcntu=0; badtucnt=0; badcomp=0; compcnt=0; cyccntu=0; cyccntb=0; equcnt=0; maxcmp=0.0; primary=0; offset=20; offset1=30; offset2=50; offset4=15; offset5=20; offset6=100; index=0; maxdel=-1000000.0; mindel=1000000.0; rat=log(3.0)/log(2.0); ratdel=rat/(rat-1.0); maxminrat=0.0; minmaxrat=1000000000.0; maxminratc=0.0; minmaxratc=1000000000.0; lamcnt=0; lamcntc=0; county=0; countn=0; countx=0; cyccnt=0; mcount=0; twojmp=0; twojmp0=0; twojmp1=0; twojmp2=0; twojmp3=0; jmphop=0; glohop=0; glojmp=0; for (h=0; h<200; h++) { c=cval[h]; // if (c>100) // break; iters=size[h]; if (eowrite==0) printf("c=%d \n",c); for (i=0; i<50; i++) { kl[2*i]=0; kl[2*i+1]=0; } klcount=0; for (i=0; i<50; i++) { kle[2*i]=0; kle[2*i+1]=0; } klecount=0; for (i=0; i<50; i++) { klp[2*i]=0; klp[2*i+1]=0; } klpcount=0; for (i=0; i<100; i++) { cycsav[2*i]=0; cycsav[2*i+1]=0; } cycsavind=0; for (i=0; i<iters; i++) s[i]=sin[i+index]; // // compute order (of loop) // sumtu=0; sumt=0; sumu=0; sumtuc=0; maxtu=0; maxt=0; maxu=0; mintu=1000000000; mint=1000000000; minu=1000000000; kk=0; maxtuc=0; mintuc=1000000000; total=0; olds=0; glomax=0; glomin=1000000000; a=0; mflag=0; attcnt=0; patcnt=0; savind=0; sumrec=0.0; oddsum=0; jmpsum=0; oldt=0; lastt=0; lalat=1000000000; firstt=1; oldchn=1000000000.0; oldu=0; jsum=0; evensum=0; hcount=0; for (i=0; i<iters; i++) { k=s[i]; savek=k; max=k; if (max<0) max=-max; levens=0; while (k==(k/2)*2) { k=k/2; levens=levens+1; } lodds=1; for (j=1; j<100000; j++) { k=3*k+c; if ((k&7)==0) { oldk=savek; savek=k; } temp=k; if (temp<0) temp=-temp; if (temp>max) max=temp; while (k==(k/2)*2) { if (k==s[i]) { levens=levens-1; goto bskip; } k=k/2; levens=levens+1; } levens=levens-1; lodds=lodds+1; } printf("error: i=%d, s[i]=%d \n",i,s[i]); goto zskip; bskip: order=3; while (order<max) order=order*2; while ((oldk&1)==0) oldk=oldk/2; u=oldk; // // find odd natural number divisible by 3 // k=s[i]; max=k; if (max<0) max=-max; while (k!=(k/3)*3) { if (k==(k/2)*2) { if ((k-c)==((k-c)/3)*3) { k=(k-c)/3; temp=k; if (temp<0) temp=-temp; if (temp>max) max=temp; } else { k=k*2; temp=k; if (temp<0) temp=-temp; if (temp>max) max=temp; } } else { k=k*2; temp=k; if (temp<0) temp=-temp; if (temp>max) max=temp; } } // // include even natural numbers to the left of the odd natural number divisible // by 3 // t=k; jump=1; flag0=3; if ((3*t+c)==s[i]) { jump=0; flag0=0; } temp=t-u; m=0; jcnt=0; while ((temp&1)==0) { m=m+1; temp=temp/2; } while (order<max) order=order*2; temp=k; if (temp<0) temp=-temp; while (temp<(order/2)) { temp=temp*2; k=k*2; } // // compute sequence // hsum=0; count=1; first=1; while (k==(k/2)*2) { k=k/2; count=count+1; } evens=count-1; odds=1; for (j=1; j<10000; j++) { k=3*k+c; count=count+1; if (first==0) { if (((k&3)==0)&&((k&7)!=0)) hsum=hsum+1; } flag=0; while (k==(k/2)*2) { if (k==s[i]) { if (first==1) first=0; else goto askip; } k=k/2; count=count+1; flag=flag+1; } if (first==1) { evens=evens+(flag-1); odds=odds+1; if (flag==2) { jcnt=jcnt+1; if ((3*k+c)==s[i]) flag0=1; } } } printf("error \n"); goto zskip; askip: if ((jcnt==1)&&(flag0==1)) jump=1; if ((jcnt>1)&&(flag0==1)) jump=2; if ((jcnt>0)&&(flag0==0)) jump=3; if (flag0==3) jump=3; jumps[i]=jump; attcnt=attcnt+1; // // check order of jump types for primary, secondary, tertiary, etc. // if ((4*s[i])!=olds) { tmpjump=jump; if (jump==3) { printf("error: primary jumped-over attachment points \n"); goto zskip; } } else { if (tmpjump==0) { if (jump!=3) { printf("error: incorrect order \n"); fprintf(Outfp,"error: incorrect order \n"); goto zskip; } } if (tmpjump==3) { if ((jump!=1)&&(jump!=2)) { printf("error: incorrect order \n"); fprintf(Outfp,"error: incorrect order \n"); goto zskip; } } if ((tmpjump==1)||(tmpjump==2)) { if (jump!=0) { printf("error: incorrect order \n"); fprintf(Outfp,"error: incorrect order \n"); goto zskip; } } tmpjump=jump; } // // check hops in multiple-jumps // jmpcnt=0; if (jump==2) { first=0; second=0; flag0=0; k=t; if (((3*k+c)&3)==0) { // check for hop first=1; // hop count lasthop=1; // set last hop flag } else { second=1; // jump count flag0=1; // set first jump flag lasthop=0; } while ((3*k+c)!=s[i]) { k=k+c; tmpcnt=0; while ((k&1)==0) { k=k/2; tmpcnt=tmpcnt+1; } for (j=0; j<tmpcnt; j++) k=k*3; k=(k-c)/2; if ((((3*k+c)&3)==0)&&((3*k+c)!=s[i])) { // check for hop first=first+1; // increment hop count lasthop=1; // set last hop flag } if ((((3*k+c)&3)!=0)&&((3*k+c)!=s[i])) { // check for jump second=second+1; // increment jump count lasthop=0; } jmpcnt=jmpcnt+1; } if ((flag0==0)&&(second>0)&&(lasthop==1)) { // first and last are hops if (wflag==5) { printf("warning: non-adjacent hops, c=%d, s=%d \n",c,s[i]); fprintf(Outfp,"warning: non-adjacent hops, c=%d, s=%d \n",c,s[i]); } jmphop=jmphop+1; } if ((flag0==1)&&(first>0)&&(lasthop==0)) { // first and last are jumps if (wflag==5) { printf("warning: non-adjacent jumps, c=%d, s=%d \n",c,s[i]); fprintf(Outfp,"warning: non-adjacent jumps, c=%d, s=%d \n",c,s[i]); } jmphop=jmphop+1; } glohop=glohop+first; // total number of hops glojmp=glojmp+second; // total number of jumps if (jmpcnt==2) { twojmp=twojmp+1; // total number of two-"jumps" if (first==2) twojmp0=twojmp0+1; if ((first==1)&&(second==1)) { if (lasthop==1) twojmp1=twojmp1+1; else twojmp2=twojmp2+1; } if (second==2) twojmp3=twojmp3+1; } mcount=mcount+1; } // // check chain (t values) // if ((4*s[i])!=olds) { temp=t+c; if (temp<0) temp=-temp; chain=(double)temp; temp=s[i]; if (temp<0) temp=-temp; while ((temp&1)==0) // next u value temp=temp/2; chain=rat*log(chain); chain=exp(chain); tmpchain=chain; if (jump==1) chain=chain*2.0; if (jump==2) chain=chain*(double)(1<<jmpcnt); if (chain<(double)temp) { if ((wflag!=2)&&(eowrite==0)) { printf("error: bad t-u chain, c=%d, t=%d, u=%d, jump=%d, count=%d \n",c,t,temp,jump,jmpcnt); fprintf(Outfp,"error: bad t-u chain, c=%d, t=%d, u=%d, jump=%d, count=%d \n",c,t,temp,jump,jmpcnt); } badtucnt=badtucnt+1; } if (chain<(double)oldt) { if ((wflag!=2)&&(eowrite==0)) { printf("error: bad chain, c=%d \n",c); printf("chain=%e, oldt=%d, t=%d, jump=%d, count=%d, s=%d \n",chain,oldt,t,jump,jmpcnt,s[i]); fprintf(Outfp,"error: bad chain, c=%d \n",c); fprintf(Outfp,"chain=%e, oldt=%d, t=%d, jump=%d, count=%d, s=%d \n",chain,oldt,t,jump,jmpcnt,s[i]); } badcnt=badcnt+1; } oldt=t; if (oldt<0) oldt=-oldt; if (firstt==1) { savchain=chain; savet=t; savjump=jump; savcnt=jmpcnt; firstt=0; } } // // check for powers of 2 // if (((4*s[i])!=olds)&&(jump==2)&&(jmpcnt==2)) { temp=t; temp=temp+c; if (temp<0) temp=-temp; while ((temp&1)==0) temp=temp/2; if ((wflag==3)&&(temp==1)) { printf("power of two: c=%d, u=%d, t=%d, s=%d \n",c,u,t,s[i]); fprintf(Outfp,"power of two: c=%d, u=%d, t=%d, s=%d \n",c,u,t,s[i]); } if (tmpchain<(double)lastt) { printf("error: bad chain, chain=%e, lastt=%d \n",chain,lastt); fprintf(Outfp,"error: bad chain, chain=%e, lastt=%d \n",chain,lastt); goto zskip; } if (wflag==4) { if (tmpchain>(double)lalat) { printf("warning: chain=%e, t=%d, last t=%d, last last t=%d \n",chain,t,lastt,lalat); fprintf(Outfp,"warning: chain=%e, t=%d, last t=%d, last last t=%d \n",chain,t,lastt,lalat); } } } if (lastt!=0) lalat=lastt; lastt=t; if (lastt<0) lastt=-lastt; // // count hops up until attachment point // if ((4*s[i])!=olds) { icount=0; k=u; k=3*k+c; while (k!=(4*s[i])) { if ((k&3)==0) { icount=icount+1; k=k/4; } else k=k/2; k=3*k+c; } // lcount=1; k=s[i]; while ((k&1)==0) { lcount=lcount+1; k=k/2; } delta=odds+icount-lcount; if (jump==1) { delta=delta-1; jmpsum=jmpsum+1; } if (jump==2) { delta=delta-jmpcnt; jmpsum=jmpsum+jmpcnt; } if ((delta<-10)&&(wflag==0)) { printf("warning: delta less than -10 \n"); printf("lcount=%d, icount=%d, delta=%d \n",lcount,icount,odds+icount-lcount); fprintf(Outfp,"warning: delta less than -2 \n"); fprintf(Outfp,"lcount=%d, icount=%d, delta=%d \n",lcount,icount,odds+icount-lcount); } delta=delta+offset; if (delta<0) { printf("error: offset not big enough \n"); goto zskip; } if (delta>99) { printf("error: histogram array not big enough \n"); goto zskip; } histoi[delta]=histoi[delta]+1; // delta=(int)m-lcount+icount; if (jump==1) delta=delta-1; if (jump==2) delta=delta-jmpcnt; delta=delta+offset; if (delta<0) { printf("error: offset not big enough \n"); goto zskip; } if (delta>99) { printf("error: histogram array not big enough \n"); goto zskip; } histox[delta]=histox[delta]+1; // if (((c==hflag1)&&(cflag[index+i]>=indmin)&&(cflag[index+i]<=indmax))||(hflag1==0)) { delta=(int)m-lcount; delta=delta+offset; if (delta<0) { printf("error: offset not big enough \n"); goto zskip; } if (delta>99) { printf("error: histogram array not big enough \n"); goto zskip; } histoy[delta]=histoy[delta]+1; } // delta=icount; if (jump==1) delta=delta-1; if (jump==2) delta=delta-jmpcnt; delta=delta+offset; if (delta<0) { printf("error: offset not big enough \n"); goto zskip; } if (delta>99) { printf("error: histogram array not big enough \n"); goto zskip; } histoz[delta]=histoz[delta]+1; // delta=odds-lcount; delta=delta+offset; if (delta<0) { printf("error: offset not big enough \n"); goto zskip; } if (delta>99) { printf("error: histogram array not big enough \n"); goto zskip; } histor[delta]=histor[delta]+1; } // k=(int)odds-(int)m; if (wflag==0) { printf("c=%d, s=%d, o=%d, t=%d, u=%d, e=%d, o=%d, e=%d, o=%d, jump=%d, j=%d, g=%d, d=%d \n",c,s[i],order,t,u,evens,odds,levens,lodds,jump,m,lcount,k); fprintf(Outfp,"c=%d, s=%d, o=%d, t=%d, u=%d, e=%d, o=%d, e=%d, o=%d, jump=%d, j=%d, g=%d, d=%d \n",c,s[i],order,t,u,evens,odds,levens,lodds,jump,m,lcount,k); if (evens<odds) { printf("warning: even count less than odd count \n"); fprintf(Outfp,"warning: even count less than odd count \n"); } } // // continued-fraction convergents // for (tempi=0; tempi<27; tempi++) { if ((conv[2*tempi]==(levens+lodds))&&(conv[2*tempi+1]==lodds)) { if ((concov[3*tempi]==0)||(concov[3*tempi]==(unsigned int)c)) concov[3*tempi]=c; else { if ((concov[3*tempi+1]==0)||(concov[3*tempi+1]==(unsigned int)c)) concov[3*tempi+1]=c; else concov[3*tempi+2]=c; } if ((4*s[i])!=olds) { delta=(int)m-lcount; delta=delta+offset4; if (delta<0) { printf("array not big enough \n"); goto zskip; } if (delta>29) { printf("array not big enough \n"); goto zskip; } histot[delta]=histot[delta]+1; } } if (conv[2*tempi+1]>lodds) break; } // for (tempi=0; tempi<27; tempi++) { if ((conv[2*tempi+1]==levens)&&(conv[2*tempi+1]==lodds)) { if ((concove[3*tempi]==0)||(concove[3*tempi]==(unsigned int)c)) concove[3*tempi]=c; else { if ((concove[3*tempi+1]==0)||(concove[3*tempi+1]==(unsigned int)c)) concove[3*tempi+1]=c; else concove[3*tempi+2]=c; } if ((4*s[i])!=olds) { delta=(int)m-lcount; delta=delta+offset4; if (delta<0) { printf("array not big enough, delta=%d \n",delta); goto zskip; } if (delta>29) { printf("array not big enough, delta=%d \n",delta); goto zskip; } histoa[delta]=histoa[delta]+1; } } if (conv[2*tempi+1]>lodds) break; } // // total odds, evens, and m values // if ((4*s[i])!=olds) { oddsum=oddsum+odds; evensum=evensum+lcount; jsum=jsum+m; hcount=hcount+icount; patcnt=patcnt+1; } // // compute sum of reciprocals // if ((4*s[i])!=olds) { temp=t; if (temp<0) temp=-temp; sumrec=sumrec+(1.0/(double)temp); temp=u; if (temp<0) temp=-temp; sumrec=sumrec+(1.0/(double)temp); primary=primary+1; } // // check chain (u values) // if ((4*s[i])!=olds) { temp=u; if (temp<0) temp=-temp; if (oldchn<(double)temp) { if ((wflag!=2)&&(eowrite==0)) { printf("error: bad chain, c=%d \n",c); printf("chain=%e, u=%d, old u=%d, jump=%d, s=%d \n",oldchn,u,oldu,jump,s[i]); fprintf(Outfp,"error: bad chain, c=%d \n",c); fprintf(Outfp,"chain=%e, u=%d, old u=%d, jump=%d, s=%d \n",oldchn,u,oldu,jump,s[i]); } badcntu=badcntu+1; } temp=u+c; if (temp<0) temp=-temp; oldchn=(double)temp; oldchn=rat*log(oldchn); oldchn=exp(oldchn); oldu=u; } // // check j values for no-jumps // if (jump==0) { if ((m>10)&&(wflag==0)) { printf("warning: no-jump with j>10 \n"); fprintf(Outfp,"warning: no-jump with j>10 \n"); } if (((c==hflag)&&(cflag[index+i]>=indmin)&&(cflag[index+i]<=indmax))||(hflag==0)) { if ((4*s[i])!=olds) { if (m>19) { printf("histogram array not big enough \n"); goto zskip; } histon[m]=histon[m]+1; } } } // // check j values for multiple-jumps // if (jump==2) { if ((m>3)&&(wflag==0)) { printf("warning: multiple-jump with j>3 \n"); fprintf(Outfp,"warning: multiple-jump with j>3 \n"); } if ((4*s[i])!=olds) { if (m>9) { printf("histogram array not big enough \n"); goto zskip; } histom[m]=histom[m]+1; } } // // histogram k values // if (((c==hflag)&&(cflag[index+i]>=indmin)&&(cflag[index+i]<=indmax))||(hflag==0)) { if ((jump==1)&&((4*s[i])!=olds)) { delta=k+offset; if (delta<0) { printf("error: offset not big enough \n"); goto zskip; } if (delta>99) { printf("error: histogram array not big enough \n"); goto zskip; } histoj[delta]=histoj[delta]+1; } } // // histogram evens minus odds // if (jump==1) { delta=(int)evens-(int)odds; delta=delta+offset; if (delta<0) { printf("error: offset not big enough \n"); goto zskip; } if (delta>99) { printf("error: histogram array not big enough \n"); goto zskip; } histo[delta]=histo[delta]+1; } // // find minimum t or u // if ((4*s[i])!=olds) { temp=t; if (temp<0) temp=-temp; if (temp<glomin) glomin=temp; temp=u; if (temp<0) temp=-temp; if (temp<glomin) glomin=temp; a=a+1; } // // find local maximum and minimum // k=u; locmin=k; if (locmin<0) locmin=-locmin; locmax=locmin; lastodd=locmax; k=3*k+c; while ((k&7)!=0) { while ((k&1)==0) { k=k/2; } delta=k; if (delta<0) delta=-delta; if (delta<locmin) locmin=delta; if (delta>locmax) locmax=delta; lastodd=delta; k=3*k+c; } if ((4*s[i])!=olds) { // check if primary if ((lastodd!=locmax)&&(jump==2)) { printf("error: no-jump with local maximum at attachment point \n"); printf("locmin=%d, locmax=%d, lastodd=%d \n",locmin,locmax,lastodd); fprintf(Outfp,"error: no-jump with local maximum at attachment point \n"); goto zskip; } if (lastodd!=locmax) { if (jump==0) county=county+1; if (jump==1) { countn=countn+1; if (((c==hflag)&&(cflag[index+i]>=indmin)&&(cflag[index+i]<=indmax))||(hflag==0)) { delta=(int)odds-(int)m; delta=delta+(int)offset; if (delta<0) { printf("array not big enough \n"); goto zskip; } if (delta>99) { printf("array not big enough \n"); goto zskip; } newhis[delta]=newhis[delta]+1; } } if (jump==3) countx=countx+1; } } if ((4*s[i])!=olds) { if (locmax>glomax) { glomax=locmax; usave=u; tsave=t; savjmp=jump; } } // // check local minimum // if ((jump==1)&&((4*s[i])!=olds)) { mincnt=0; k=u; delta=k; if (delta<0) delta=-delta; if (delta==locmin) { hismin[0]=hismin[0]+1; goto yskip; } while (delta!=locmin) { k=3*k+c; if ((k&3)!=0) { hismin[9]=hismin[9]+1; delta=(int)odds-(int)m; delta=delta+offset; if (delta<0) { printf("array not big enough \n"); goto zskip; } if (delta>99) { printf("array not big enough \n"); goto zskip; } histoe[delta]=histoe[delta]+1; if (bypass==0) goto pskip; else goto yskip; } k=k/4; delta=k; if (delta<0) delta=-delta; mincnt=mincnt+1; } if (mincnt>8) { printf("error: array not big enough \n"); goto zskip; } hismin[mincnt]=hismin[mincnt]+1; pskip: if (((c==hflag)&&(cflag[index+i]>=indmin)&&(cflag[index+i]<=indmax))||(hflag==0)) { delta=(int)odds-(int)m; delta=delta+offset; if (delta<0) { printf("array not big enough \n"); goto zskip; } if (delta>99) { printf("array not big enough \n"); goto zskip; } oldhis[delta]=oldhis[delta]+1; } } // // check multiple-jumps // yskip: if ((jump==2)&&((4*s[i])!=olds)) { k=u; k=3*k+c; while ((k&7)!=0) { if ((k&3)==0) { printf("error: not one jump from u \n"); fprintf(Outfp,"error: not one jump from u \n"); goto zskip; } k=k/2; k=3*k+c; } } // // check if primary multiple-jumps are preceded by no-jumps // Note: Only last primary multiple-jump checked. // if ((jump==2)&&((4*s[i])!=olds)) { k=u*2; if ((((k-c)/3)*3)!=(k-c)) k=k*2; tmps=k; mflag=1; } // // compute domain // if ((4*s[i])!=olds) { k=t; if (k<0) k=-k; if ((unsigned int)k>maxtu) maxtu=k; if ((unsigned int)k<mintu) mintu=k; if ((unsigned int)k>maxt) maxt=k; if ((unsigned int)k<mint) mint=k; sumtu=sumtu+k; sumt=sumt+k; ut[kk]=k; kk=kk+1; if (kk>998) { printf("array not big enough \n"); goto zskip; } stu[2*total]=k; k=u; if (k<0) k=-k; if ((unsigned int)k>maxtu) maxtu=k; if ((unsigned int)k<mintu) mintu=k; if ((unsigned int)k>maxu) maxu=k; if ((unsigned int)k<minu) minu=k; sumtu=sumtu+k; sumu=sumu+k; ut[kk]=k; kk=kk+1; stu[2*total+1]=k; // k=t+c; if (k<0) k=-k; if ((unsigned int)k>maxtuc) maxtuc=k; if ((unsigned int)k<mintuc) mintuc=k; sumtuc=sumtuc+k; k=u+c; if (k<0) k=-k; if ((unsigned int)k>maxtuc) maxtuc=k; if ((unsigned int)k<mintuc) mintuc=k; sumtuc=sumtuc+k; total=total+1; if (total>1000) { printf("output array too small \n"); goto zskip; } } // // check for new cycle // if ((cflag[index+i]!=cflag[index+i+1])||(i==(iters-1))) { // // check for K1=K2, but L1!=L2 (associated cycles [old definition]) // for (tempi=0; tempi<klcount; tempi++) { if ((kl[2*tempi]==lodds)&&(kl[2*tempi+1]==levens)) goto qskip; if ((kl[2*tempi]==lodds)&&(kl[2*tempi+1]!=levens)) { if (ewrite==1) { printf("warning o: c=%d, L1=%d, K1=%d, L2=%d, K2=%d \n",c,levens,lodds,kl[2*tempi+1],kl[2*tempi]); fprintf(Outfp,"warning o: c=%d, L1=%d, K1=%d, L2=%d, K2=%d \n",c,levens,lodds,kl[2*tempi+1],kl[2*tempi]); } } } kl[2*klcount]=lodds; kl[2*klcount+1]=levens; klcount=klcount+1; if (klcount==50) { printf("array not big enough \n"); goto zskip; } // // check for L1=L2, but K1!=K2 (associated cycles [old definition]) // qskip: for (tempi=0; tempi<klecount; tempi++) { if ((kle[2*tempi]==lodds)&&(kle[2*tempi+1]==levens)) goto sskip; if ((kle[2*tempi]!=lodds)&&(kle[2*tempi+1]==levens)) { if (ewrite==1) { printf("warning e: c=%d, L1=%d, K1=%d, L2=%d, K2=%d \n",c,levens,lodds,kle[2*tempi+1],kle[2*tempi]); fprintf(Outfp,"warning e: c=%d, L1=%d, K1=%d, L2=%d, K2=%d \n",c,levens,lodds,kle[2*tempi+1],kle[2*tempi]); } } } kle[2*klecount]=lodds; kle[2*klecount+1]=levens; klecount=klecount+1; if (klecount==50) { printf("array not big enough \n"); goto zskip; } // // check for K1+L1=K2+L2, but K1!=K2 (associated cycles [old definition]) // sskip: if ((ewrite==1)&&(i==(iters-1))) { printf("c=%d, cycles=%d \n",c,klcount); fprintf(Outfp,"c=%d, cycles=%d \n",c,klcount); if (klcount<20) { ncyc[klcount]=ncyc[klcount]+1; } else { printf("error: array not big enough \n"); goto zskip; } } for (tempi=0; tempi<klpcount; tempi++) { if ((klp[2*tempi]==lodds)&&(klp[2*tempi+1]==levens)) goto rskip; if ((klp[2*tempi]!=lodds)&&((klp[2*tempi+1]*efact+klp[2*tempi]*ofact)==(levens*efact+lodds*ofact))) { if (eowrite==1) { printf("warning p: c=%d, L1=%d, K1=%d, L2=%d, K2=%d \n",c,levens,lodds,klp[2*tempi+1],klp[2*tempi]); fprintf(Outfp,"warning p: c=%d, L1=%d, K1=%d, L2=%d, K2=%d \n",c,levens,lodds,klp[2*tempi+1],klp[2*tempi]); } } } klp[2*klpcount]=lodds; klp[2*klpcount+1]=levens; klpcount=klpcount+1; if (klpcount==50) { printf("array not big enough \n"); goto zskip; } rskip: for (tempi=0; tempi<cycsavind; tempi++) { if ((cycsav[2*tempi]==levens)&&(cycsav[2*tempi+1]==lodds)) goto rjump; } cycsav[2*cycsavind]=levens; cycsav[2*cycsavind+1]=lodds; cycsavind=cycsavind+1; // // check maximum, minimum, and average // rjump: lambda=(double)sumtu/(double)(total*2); lambdat=(double)sumt/(double)total; lambdau=(double)sumu/(double)total; if (total>1) { sumtu1=0; kk=0; for (g=0; g<total*2; g++) { if ((double)ut[g]<=lambda) { sumtu1=sumtu1+ut[g]; kk=kk+1; } } if (kk==0) { printf("error 1: kk=0, c=%d, e=%d, o=%d, a=%d \n",c,levens,lodds,total); fprintf(Outfp,"error 1: kk=0, c=%d, e=%d, o=%d, a=%d \n",c,levens,lodds,total); goto zskip; } l1flag=kk; lambda1=(double)sumtu1/(double)kk; if (kk==1) { lambda2=10000000000.0; lambda3=10000000000.0; goto ejump; } } if (total>2) { sumtu1=0; kk=0; for (g=0; g<total*2; g++) { if ((double)ut[g]<=lambda1) { sumtu1=sumtu1+ut[g]; kk=kk+1; } } if (kk==0) { printf("error 2: kk=0, c=%d, e=%d, o=%d, a=%d \n",c,levens,lodds,total); fprintf(Outfp,"error 2: kk=0, c=%d, e=%d, o=%d, a=%d \n",c,levens,lodds,total); goto zskip; } l2flag=kk; lambda2=(double)sumtu1/(double)kk; if (kk==1) { lambda3=10000000000.0; goto ejump; } } if (total>3) { sumtu1=0; kk=0; for (g=0; g<total*2; g++) { if ((double)ut[g]<=lambda2) { sumtu1=sumtu1+ut[g]; kk=kk+1; } } if (kk==0) { printf("error 3: kk=0, c=%d, e=%d, o=%d, a=%d \n",c,levens,lodds,total); fprintf(Outfp,"error 3: kk=0, c=%d, e=%d, o=%d, a=%d \n",c,levens,lodds,total); goto zskip; } l3flag=kk; lambda3=(double)sumtu1/(double)kk; } // // check M and N for parity vector p // ejump: if (lodds>levens) { for (g=0; g<5000; g++) { if (((levens+lodds)==(ln[g]>>16))&&(lodds==(ln[g]&0xffff))) { pcount=pcount+1; g=halbhung(levens+lodds,lodds,EM,EN,sv,A,B,C,D,L,S,em); if (g!=0) { printf("error: N can't be computed \n"); fprintf(Outfp,"error: N can't be computed \n"); goto qjump; } d=(double)EN[3]*(double)c/4.0/6.0; if (d>(double)maxtu) { printf("error 1: lambda=%e, max=%d, min=%d, evens=%d, odds=%d, M=%e, N=%e \n",lambda,maxtu,mintu,levens,lodds,(double)(c*EM[3])/4.0,(double)(c*EN[3])/4.0); fprintf(Outfp,"error 2: lambda=%e, max=%d, min=%d, evens=%d, odds=%d, M=%e, N=%e \n",lambda,maxtu,mintu,levens,lodds,(double)(c*EM[3])/4.0,(double)(c*EN[3])/4.0); goto zskip; } d=d*2.0; if ((d>(double)maxtu)&&(total!=1)) { printf("error 1: lambda=%e, max=%d, min=%d, evens=%d, odds=%d, M=%e, N=%e \n",lambda,maxtu,mintu,levens,lodds,(double)(c*EM[3])/4.0,(double)(c*EN[3])/4.0); fprintf(Outfp,"error 2: lambda=%e, max=%d, min=%d, evens=%d, odds=%d, M=%e, N=%e \n",lambda,maxtu,mintu,levens,lodds,(double)(c*EM[3])/4.0,(double)(c*EN[3])/4.0); goto zskip; } d=(double)EM[3]*(double)c/2.0; if (d<(double)mintu) { printf("error 2: lambda=%e, max=%d, min=%d, evens=%d, odds=%d, M=%e, N=%e \n",lambda,maxtu,mintu,levens,lodds,(double)(c*EM[3])/4.0,(double)(c*EN[3])/4.0); fprintf(Outfp,"error 3: lambda=%e, max=%d, min=%d, evens=%d, odds=%d, M=%e, N=%e \n",lambda,maxtu,mintu,levens,lodds,(double)(c*EM[3])/4.0,(double)(c*EN[3])/4.0); goto zskip; } break; } if (lodds<(ln[g]&0xffff)) break; } } // // check maxtu/lambda, delta power=a+1 // qjump: d=log(3)/log(2); d=exp((double)(total+1)*log(d)); if (d<((double)maxtu/lambda)) { printf("error: d=%e, max=%d, min=%d, lambda=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda,total,c,levens,lodds); fprintf(Outfp,"error: d=%e, max=%d, min=%d, lambda=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda,total,c,levens,lodds); goto zskip; } // // check maxtu/mintu, a>3, delta power=4*a+0 // if (total>3) { d=log(3)/log(2); d=exp((double)(total*4+0)*log(d)); if (d<((double)maxtu/(double)mintu)) { printf("error: d=%e, max=%d, min=%d, lambda=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda,total,c,levens,lodds); fprintf(Outfp,"error: d=%e, max=%d, min=%d, lambda=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda,total,c,levens,lodds); goto zskip; } } if (total>1) { d=log(3)/log(2); d=exp((double)(total+1)*log(d)); if (d<(lambda/lambda1)) { printf("error: d=%e, max=%d, min=%d, lambda=%e, lambda1=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda,lambda1,total,c,levens,lodds); fprintf(Outfp,"error: d=%e, max=%d, min=%d, lambda=%e, lambda1=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda,lambda1,total,c,levens,lodds); printf("c=%d, e=%d, o=%d, a=%d, kk=%d \n",c,levens,lodds,total,l1flag); fprintf(Outfp,"c=%d, e=%d, o=%d, a=%d, kk=%d \n",c,levens,lodds,total,l1flag); } } if (total>2) { d=log(3)/log(2); d=exp((double)(total+1)*log(d)); if (d<(lambda1/lambda2)) { printf("error: d=%e, max=%d, min=%d, lambda1=%e, lambda2=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda1,lambda2,total,c,levens,lodds); fprintf(Outfp,"error: d=%e, max=%d, min=%d, lambda1=%e, lambda2=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda1,lambda2,total,c,levens,lodds); printf("c=%d, e=%d, o=%d, a=%d, kk=%d \n",c,levens,lodds,total,l2flag); fprintf(Outfp,"c=%d, e=%d, o=%d, a=%d, kk=%d \n",c,levens,lodds,total,l2flag); } } if (total>3) { d=log(3)/log(2); d=exp((double)(total+1)*log(d)); if (d<(lambda2/lambda3)) { printf("error: d=%e, max=%d, min=%d, lambda2=%e, lambda3=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda2,lambda3,total,c,levens,lodds); fprintf(Outfp,"error: d=%e, max=%d, min=%d, lambda2=%e, lambda3=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda2,lambda3,total,c,levens,lodds); printf("c=%d, e=%d, o=%d, a=%d, kk=%d \n",c,levens,lodds,total,l3flag); fprintf(Outfp,"c=%d, e=%d, o=%d, a=%d, kk=%d \n",c,levens,lodds,total,l3flag); } } // // check maxtu/mintu, parity vector p, lambda/lambda1, lambda1/lambda2, etc. // if (lodds>levens) { for (g=0; g<5000; g++) { if (((levens+lodds)==(ln[g]>>16))&&(lodds==(ln[g]&0xffff))) { d=log(3)/log(2); d=exp((double)(total*4+1)*log(d)); if (d<((double)maxtu/(double)mintu)) { printf("error: d=%e, max=%d, min=%d, lambda=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda,total,c,levens,lodds); fprintf(Outfp,"error: d=%e, max=%d, min=%d, lambda=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda,total,c,levens,lodds); goto zskip; } if (total>1) { d=log(3)/log(2); d=exp((double)(total+1)*log(d)); if (d<(lambda/lambda1)) { printf("error: d=%e, max=%d, min=%d, lambda=%e, lambda1=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda,lambda1,total,c,levens,lodds); fprintf(Outfp,"error: d=%e, max=%d, min=%d, lambda=%e, lambda1=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda,lambda1,total,c,levens,lodds); if (l1flag!=1) goto zskip; else { printf("kkp=1 \n"); fprintf(Outfp,"kkp=1, c=%d, e=%d, o=%d, a=%d \n",c,levens,lodds,total); } } } if (total>2) { d=log(3)/log(2); d=exp((double)(total+1)*log(d)); if (d<(lambda1/lambda2)) { printf("error: d=%e, max=%d, min=%d, lambda1=%e, lambda2=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda1,lambda2,total,c,levens,lodds); fprintf(Outfp,"error: d=%e, max=%d, min=%d, lambda1=%e, lambda2=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda1,lambda2,total,c,levens,lodds); if (l2flag!=1) goto zskip; else { printf("kkp=1 \n"); fprintf(Outfp,"kkp=1, c=%d, e=%d, o=%d, a=%d \n",c,levens,lodds,total); } } } if (total>3) { d=log(3)/log(2); d=exp((double)(total+1)*log(d)); if (d<(lambda2/lambda3)) { printf("error: d=%e, max=%d, min=%d, lambda2=%e, lambda3=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda2,lambda3,total,c,levens,lodds); fprintf(Outfp,"error: d=%e, max=%d, min=%d, lambda2=%e, lambda3=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda2,lambda3,total,c,levens,lodds); if (l3flag!=1) goto zskip; else { printf("kkp=1 \n"); fprintf(Outfp,"kkp=1, c=%d, e=%d, o=%d, a=%d \n",c,levens,lodds,total); } } } } if (lodds<(ln[g]&0xffff)) break; } } // // lambda=average of t, lambda=average of u, delta power=(a+2)/2 // d=log(3)/log(2); d=exp((double)(total+2)/2.0*log(d)); if (d<((double)maxu/lambdau)) { printf("error: d=%e, max=%d, min=%d, lambdau=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxu,minu,lambdau,total,c,levens,lodds); fprintf(Outfp,"error: d=%e, max=%d, min=%d, lambdau=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxu,minu,lambdau,total,c,levens,lodds); goto zskip; } if (d<((double)maxt/lambdat)) { printf("error: d=%e, max=%d, min=%d, lambdat=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxt,mint,lambdat,total,c,levens,lodds); fprintf(Outfp,"error: d=%e, max=%d, min=%d, lambdat=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxt,mint,lambdat,total,c,levens,lodds); goto zskip; } // // power for specified a value // if (total==1) { d=(double)mintu; for (jj=0; jj<40; jj++) { d=d*log(3)/log(2); if (d>(double)maxtu) { if ((jj+1)>39) { printf("array not big enough \n"); goto zskip; } d1hist[jj+1]=d1hist[jj+1]+1; break; } } } if (total==2) { d=(double)mintu; for (jj=0; jj<40; jj++) { d=d*log(3)/log(2); if (d>(double)maxtu) { if ((jj+1)>39) { printf("array not big enough \n"); goto zskip; } d2hist[jj+1]=d2hist[jj+1]+1; break; } } } if (total==3) { d=(double)mintu; for (jj=0; jj<40; jj++) { d=d*log(3)/log(2); if (d>(double)maxtu) { if ((jj+1)>39) { printf("array not big enough \n"); goto zskip; } d3hist[jj+1]=d3hist[jj+1]+1; break; } } } // // histogram of powers for parity vector p, max/min // if (lodds>levens) { // if (euclid(lodds,levens)==1) { for (g=0; g<5000; g++) { if (((levens+lodds)==(ln[g]>>16))&&(lodds==(ln[g]&0xffff))) { d=(double)mintu; for (jj=0; jj<40; jj++) { d=d*log(3)/log(2); if (d>(double)maxtu) { if ((jj+1+20)<total*2) { printf("error: count=%d, total=%d \n",jj+1,total); goto zskip; } chhist[jj+21-total*2]=chhist[jj+21-total*2]+1; if (total==1) onehist[jj+21-total*2]=onehist[jj+21-total*2]+1; goto xjump; } } } if (lodds<(ln[g]&0xffff)) break; } // } } // // histogram of powers for parity vector p, lambda/min // xjump: d=log(3)/log(2); d=exp((double)(total+3)*log(d)); if (d<((double)lambda/mintu)) { if (lodds>levens) { if (euclid(lodds,levens)==1) { for (g=0; g<5000; g++) { if (((levens+lodds)==(ln[g]>>16))&&(lodds==(ln[g]&0xffff))) { flubx=flubx+1; d=(double)lambda/d/mintu; if (d>maxdiff) maxdiff=d; printf("error: d=%e, max=%d, min=%d, lambda=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda,total,c,levens,lodds); fprintf(Outfp,"error: d=%e, max=%d, min=%d, lambda=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda,total,c,levens,lodds); goto pjump; } if (lodds<(ln[g]&0xffff)) break; } } } flubs=flubs+1; } // // max*min/lambda^2 // pjump: d=(double)maxtu*(double)mintu/lambda/lambda; if (d>1.0) lamcnt=lamcnt+1; if (d>maxminrat) { maxminrat=d; savec=c; ksave=s[i]; } if (d<minmaxrat) { minmaxrat=d; savecp=c; ksavep=s[i]; } d=(double)maxu*(double)minu/lambdau/lambdau; if (d>log(3.0)/log(2.0)) { printf("error u: d=%e \n",d); goto zskip; } d=(double)maxt*(double)mint/lambdat/lambdat; if (d>log(3.0)/log(2.0)) { printf("error t: d=%e \n",d); goto zskip; } // // c/X0 > 2^((K+L)/K)-3 // d=exp((double)(levens+lodds)/(double)lodds*log(2.0)); d=d-3.0; tempf=d; if (d<0.0) d=-d; if (((double)c/d)<=(double)mintu) { if (eowrite==0) { printf("error: d=%e, mintu=%d, c=%d, e=%d, o=%d, a=%d \n",d,mintu,c,levens,lodds,total); fprintf(Outfp,"error: d=%e, mintu=%d, c=%d, e=%d, o=%d, a=%d \n",d,mintu,c,levens,lodds,total); } } // // |1-c/X0| > 2^((K+L)/k)-3 (parity vector p, continued-fraction conv., etc. // dmin=1.0-(double)c/(double)mintu; if (dmin<0.0) dmin=-dmin; if (dmin<=d) { if (lodds>levens) { for (g=0; g<5000; g++) { if (((levens+lodds)==(ln[g]>>16))&&(lodds==(ln[g]&0xffff))) { printf("error: d=%e, dmin=%e, mintu=%d, c=%d, e=%d, o=%d, a=%d \n",d,dmin,mintu,c,levens,lodds,total); fprintf(Outfp,"error: d=%e, dmin=%e, mintu=%d, c=%d, e=%d, o=%d, a=%d \n",d,dmin,mintu,c,levens,lodds,total); goto zskip; } if (lodds<(ln[g]&0xffff)) break; } } for (g=0; g<27; g++) { if ((conv[2*g]==(levens+lodds))&&(conv[2*g+1]==lodds)) { printf("error: d=%e, dmin=%e, mintu=%d, c=%d, e=%d, o=%d, a=%d \n",d,dmin,mintu,c,levens,lodds,total); fprintf(Outfp,"error: d=%e, dmin=%e, mintu=%d, c=%d, e=%d, o=%d, a=%d \n",d,dmin,mintu,c,levens,lodds,total); goto zskip; } } if ((tempf<0.0)&&(eowrite==0)) { printf("error 1: d=%e, dmin=%e, mintu=%d, c=%d, e=%d, o=%d, a=%d \n",d,dmin,mintu,c,levens,lodds,total); fprintf(Outfp,"error 1: d=%e, dmin=%e, mintu=%d, c=%d, e=%d, o=%d, a=%d \n",d,dmin,mintu,c,levens,lodds,total); } if ((total!=1)&&(eowrite==0)) { printf("error 2: d=%e, dmin=%e, mintu=%d, c=%d, e=%d, o=%d, a=%d \n",d,dmin,mintu,c,levens,lodds,total); fprintf(Outfp,"error 2: d=%e, dmin=%e, mintu=%d, c=%d, e=%d, o=%d, a=%d \n",d,dmin,mintu,c,levens,lodds,total); } else onecnt=onecnt+1; } // // compute domain // dmin=1000000.0; dmax=-1000000.0; for (g=0; g<total*2; g++) { d=-log((double)stu[g]/lambda)/lambda; if (d<dmin) dmin=d; if (d>dmax) dmax=d; } del=dmax-dmin; if (del>maxdel) { maxdel=del; cmax=c; } if (del<mindel) { mindel=del; cmin=c; } if (wflag==0) { printf("lambda=%e, min=%e, max=%e, del=%e \n",lambda,dmin,dmax,del); // fprintf(Outfp,"lambda=%e, min=%e, max=%e, del=%e \n",lambda,dmin,dmax,del); } // // domain for funky average (useless??) // lambda=(double)sumtuc/(double)(total*2); d=(double)maxtuc*(double)mintuc/lambda/lambda; if (d>1.0) { lamcntc=lamcntc+1; } if (d>maxminratc) maxminratc=d; if (d<minmaxratc) minmaxratc=d; sumtu=0; sumt=0; sumu=0; sumtuc=0; maxtu=0; maxt=0; maxu=0; mintu=1000000000; mint=1000000000; minu=1000000000; kk=0; maxtuc=0; mintuc=1000000000; total=0; olds=0; cyccnt=cyccnt+1; // // 3*sum(1/|u|+1/|t|) > |del| // sumrec=sumrec*(double)c; tempf=(double)(levens+lodds)*log(2)-(double)(lodds)*log(3); if ((wflag==1)&&(eowrite==0)) { printf("c=%d, e=%d, o=%d, sum=%e, tempf=%e, osum=%d, esum=%d, jsum=%d, hsum=%d, jmpsum=%d \n",c,levens,lodds,sumrec,tempf,oddsum,evensum,jsum,hcount,jmpsum); fprintf(Outfp,"c=%d, e=%d, o=%d, sum=%e, tempf=%e, osum=%d, esum=%d, jsum=%d, hsum=%d, jmpsum=%d \n",c,levens,lodds,sumrec,tempf,oddsum,evensum,jsum,hcount,jmpsum); } if (tempf<0.0) tempf=-tempf; if (tempf>(sumrec*3.0)) { printf("error: delta greater than sum of reciprocals \n"); fprintf(Outfp,"error: delta greater than sum of reciprocals \n"); goto zskip; } sumrec=0.0; // // bad t chain // if (savchain<oldt) { if ((wflag!=2)&&(eowrite==0)) { printf("error: bad chain (wrap-around), c=%d \n",c); printf("chain=%e, oldt=%d, t=%d, jump=%d, count=%d, s=%d \n",savchain,oldt,savet,savjump,savcnt,s[i]); fprintf(Outfp,"error: bad chain (wrap-around), c=%d \n",c); fprintf(Outfp,"chain=%e, oldt=%d, t=%d, jump=%d, count=%d, s=%d \n",savchain,oldt,savet,savjump,savcnt,s[i]); } badcnt=badcnt+1; } oldt=0; lastt=0; lalat=1000000000; firstt=1; oldchn=1000000000.0; oldu=0; // // histogram h // delta=oddsum-jmpsum+hcount-evensum+offset1; if (delta<0) { printf("error: offset not big enough, delta=%d \n",delta); goto zskip; } if (delta>99) { printf("error: histogram array not big enough \n"); goto zskip; } histoh[delta]=histoh[delta]+1; if (wflag==0) { if ((oddsum+hcount+2)<evensum) { printf("warning: oddsum=%d, hcount=%d, evensum=%d \n",oddsum,hcount,evensum); fprintf(Outfp,"warning: oddsum=%d, hcount=%d, evensum=%d \n",oddsum,hcount,evensum); } } // // histogram w // delta=hcount-jmpsum+offset; if (delta<0) { printf("error: offset not big enough, delta=%d \n",delta); goto zskip; } if (delta>99) { printf("error: histogram array not big enough \n"); goto zskip; } histow[delta]=histow[delta]+1; // // histogram v // delta=jsum-evensum+offset2; if (delta<0) { printf("error: offset not big enough, jsum=%d, delta=%d \n",jsum,delta); goto zskip; } if (delta>99) { printf("error: histogram array not big enough \n"); goto zskip; } histov[delta]=histov[delta]+1; // // histogram u // for (tempi=0; tempi<27; tempi++) { if ((conv[2*tempi]==(levens+lodds))&&(conv[2*tempi+1]==lodds)) { delta=jsum-evensum+offset4; if (delta<0) { printf("array not big enough \n"); goto zskip; } if (delta>29) { printf("array not big enough \n"); goto zskip; } histou[delta]=histou[delta]+1; cyccntu=cyccntu+1; if (((3.0*log(c))<patcnt)&&(c!=1)) { printf("not enough attachment points, c=%d, count=%d \n",c,attcnt); goto zskip; } } if (conv[2*tempi+1]>lodds) break; } // // histogram b // for (tempi=0; tempi<27; tempi++) { if ((conv[2*tempi+1]==levens)&&(conv[2*tempi+1]==lodds)) { delta=jsum-evensum; delta=delta+offset5; if (delta<0) { printf("array not big enough, delta b=%d \n",delta); goto zskip; } if (delta>29) { printf("array not big enough, delta b=%d \n",delta); goto zskip; } histob[delta]=histob[delta]+1; cyccntb=cyccntb+1; if ((3.0*log(c))<patcnt) { printf("not enough attachment points, c=%d, count=%d \n",c,attcnt); goto zskip; } } if (conv[2*tempi+1]>lodds) break; } // // histogram s // delta=oddsum-evensum+offset1; if (delta<0) { printf("error: offset not big enough, jsum=%d, delta=%d \n",jsum,delta); goto zskip; } if (delta>99) { printf("error: histogram array not big enough \n"); goto zskip; } histos[delta]=histos[delta]+1; if (levens==lodds) histof[delta]=histof[delta]+1; // // check limit // if (oddsum>jsum) { tempi=oddsum-jsum; tempf=1.0; for (j=0; j<tempi; j++) tempf=tempf*2.0; tempf=(rat-1.0)*log(tempf); tempf=exp(tempf); tempg=1.0; for (j=0; j<(unsigned int)evensum; j++) tempg=tempg*2.0; tempf=tempf/tempg; j=(unsigned int)(tempf*10.0); histoc[j]=histoc[j]+1; if (tempf>1.0) { if (eowrite==0) printf("warning: tempf=%e, tempg=%e, oddsum=%d, jsum=%d, evensum=%d \n",tempf,tempg,oddsum,jsum,evensum); compcnt=compcnt+1; if (tempf>maxcmp) maxcmp=tempf; } } // // compare cycle hop counts // if (hcount!=hsum) { printf("error: mis-matched sums \n"); goto zskip; } delta=patcnt-hcount+offset2; if (delta<0) { printf("error: offset not big enough, jsum=%d, delta=%d \n",patcnt,hcount); goto zskip; } if (delta>199) { printf("error: offset not big enough, jsum=%d, delta=%d \n",patcnt,hcount); goto zskip; } histoo[delta]=histoo[delta]+1; oddsum=0; evensum=0; jmpsum=0; jsum=0; hcount=0; // // check primary multiple jumps // if (mflag!=0) { for (j=0; j<attcnt; j++) { if (s[j+savind]==tmps) { if ((jumps[j+savind]!=0)&&(jumps[j+savind]!=3)) { printf("error: one-jump not found \n"); goto zskip; } goto vskip; } } printf("error: no match \n"); goto zskip; } vskip: // // check number of primary attachment points // if (((3.0*log(c))<patcnt)&&(c!=1)) { if (wflag==0) { printf("too few primary attachment points, c=%d, count=%d \n",c,patcnt); fprintf(Outfp,"too few primary attachment points, c=%d, count=%d \n",c,patcnt); } if (levens==lodds) equcnt=equcnt+1; } delta=(int)(3.0*log(c))-patcnt+offset6; if (delta<0) { printf("array not big enough (histod): delta=%d \n",delta); goto zskip; } if (delta>399) { printf("array not big enough (histod): delta=%d \n",delta); goto zskip; } // if ((c==481)&&(levens==12)&&(lodds==18)) // temporary!!! histod[delta]=histod[delta]+1; for (ii=0; ii<5000; ii++) { if (((levens+lodds)==(ln[ii]>>16))&&(lodds==(ln[ii]&0xffff))) { histodd[delta]=histodd[delta]+1; goto iiskip; } if (lodds<(ln[ii]&0xffff)) goto iiskip; } printf("error: ln array not big enough \n"); goto zskip; // iiskip: attcnt=0; patcnt=0; mflag=0; savind=i+1; // // compute inequality // if (infin==0) { bp=1.0+(double)c/(double)glomin; bm=1.0-(double)c/(double)glomin; if (bm<0.0) bm=-bm; } else { bp=1.0; bm=1.0; } tempf=exp((double)a*log(rat))-1.0; // d^a-1 tempg=(double)a/tempf; // a/(d^a-1) tempg=ratdel-tempg; // d/(d-1) - a/(d^a-1) cap=exp(tempg*log(bp)); // ca=b^(d/d-1) - a/(d^a-1)) cam=exp(tempg*log(bm)); cap=3.0*(double)c*(double)a*cap; // 3*c*a*ca cam=3.0*(double)c*(double)a*cam; tempg=(rat-1.0)/tempf; // (d-1)/(d^a-1) tempg=-tempg*(double)lodds; // -(d-1)/(d^a-1)*K tempg=exp(tempg*log(2.0)); // 2^(-(d-1)/(d^a-1)*K) cap=cap*tempg; // 3*c*a*ca*2^(-(d-1)/(d^a-1)*K) cam=cam*tempg; tempf=(double)(levens+lodds)*log(2)-(double)lodds*log(3); if (tempf<0.0) tempf=-tempf; // for (g=0; g<5000; g++) { // if (((levens+lodds)==(ln[g]>>16))&&(lodds==(ln[g]&0xffff))) { // if ((tempf<cam)&&(a!=1)) { // printf("Kilroy was here! tempf=%e, cam=%e, c=%d, a=%d, min=%d, e=%d, o=%d \n",tempf,cam,c,a,glomin,levens,lodds); // goto zskip; // } // } // if (lodds<(ln[g]&0xffff)) // break; // } if ((tempf>cap)||(tempf>cam)) { if (eowrite==0) { printf("error: c=%d, e=%d, o=%d, a=%d, cap=%e, cam=%e, tempf=%e \n",c,levens,lodds,a,cap,cam,tempf); fprintf(Outfp,"error: c=%d, e=%d, o=%d, a=%d, cap=%e, cam=%e, tempf=%e \n",c,levens,lodds,a,cap,cam,tempf); } badcomp=badcomp+1; } glomin=1000000000; a=0; // // check global maximum // ttemp=tsave; if (ttemp<0) ttemp=-ttemp; k=usave; locmax=k; if (locmax<0) locmax=-locmax; lastodd=locmax; k=3*k+c; while ((k&7)!=0) { while ((k&1)==0) { k=k/2; } delta=k; if (delta<0) delta=-delta; if (delta>locmax) { locmax=delta; utemp=k; } lastodd=delta; k=3*k+c; } if (lastodd!=locmax) { k=utemp; k=3*k+c; while ((k&7)!=0) { k=k/2; if ((k&1)==0) { k=k/2; delta=k; if (delta<0) delta=-delta; if (delta==lastodd) { if (savjmp==0) { k=usave; // new!!! if (k<0) k=-k; // if ((ttemp>locmax)&&(locmax!=k)) { // new!!! if (ttemp>locmax) { printf("error: t is greater than global maximum, u=%d, t=%d, max=%d, jump=%d \n",usave,tsave,locmax,savjmp); goto zskip; } goto wskip; } else { printf("error: not a no-jump attachment point \n"); fprintf(Outfp,"error: not a no-jump attachment point \n"); goto zskip; } } } k=3*k+c; } if (savjmp!=1) { printf("error: not a one-jump attachment point \n"); fprintf(Outfp,"error: not a one-jump attachment point \n"); goto zskip; } k=usave; if (k<0) k=-k; // if ((ttemp<locmax)&&(locmax!=k)) { // new!!! if (ttemp>locmax) { printf("error: t is greater than global maximum, u=%d, t=%d, max=%d, jump=%d \n",usave,tsave,locmax,savjmp); goto zskip; } wskip: delta=0; } else { // new!!! k=usave; if (k<0) k=-k; // if ((ttemp<locmax)&&(locmax!=k)) { // if (ttemp>locmax) { // printf("error: t is greater than global maximum, u=%d, t=%d, max=%d, jump=%d \n",usave,tsave,locmax,savjmp); // goto zskip; // } } glomax=0; } else olds=s[i]; } index=index+iters; if (wflag==0) { printf("\n"); fprintf(Outfp,"\n"); } for (tempi=0; tempi<cycsavind; tempi++) { outkl[2*outklind]=cycsav[2*tempi]; outkl[2*outklind+1]=cycsav[2*tempi+1]; outklind=outklind+1; } outcnt[h]=cycsavind; } ewrite=0; } printf("\n"); fprintf(Outfp,"\n"); if (eowrite!=0) { printf("histogram of number of cycles \n"); fprintf(Outfp,"histogram of number of cycles \n"); for (i=0; i<20; i++) { printf("i=%d, count=%d \n",i,ncyc[i]); fprintf(Outfp,"i=%d, count=%d \n",i,ncyc[i]); } printf("\n"); fprintf(Outfp,"\n"); } printf("maxdel=%e, c=%d, mindel=%e, c=%d \n",maxdel,cmax,mindel,cmin); fprintf(Outfp,"maxdel=%e, c=%d, mindel=%e, c=%d \n",maxdel,cmax,mindel,cmin); printf("\n"); fprintf(Outfp,"\n"); // // output histogram of evens minus odds // printf("histogram of number of evens minus odds in extended sequences \n"); fprintf(Outfp,"histogram of number evens minus odds in extended sequences \n"); flag=99; for (i=99; i>0; i--) { if (histo[i]==0) flag=flag-1; else break; } first=0; for (i=0; i<=(int)flag; i++) { if ((histo[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d \n",i-offset,histo[i]); printf("i=%d, h[i]=%d \n",i-offset,histo[i]); } // // output histogram of k values (for primary one-jump attachment points) // printf("\n"); fprintf(Outfp,"\n"); printf("histogram of k values for primary one-jump attachment points \n"); fprintf(Outfp,"histogram of k values for primary one-jump attachment points \n"); printf("c=%d \n",hflag); fprintf(Outfp,"c=%d \n",hflag); flag=99; for (i=99; i>0; i--) { if (histoj[i]==0) flag=flag-1; else break; } first=0; for (i=0; i<=(int)flag; i++) { if ((histoj[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d \n",i-offset,histoj[i]); printf("i=%d, h[i]=%d \n",i-offset,histoj[i]); } // // output histogram of hops // printf("\n"); fprintf(Outfp,"\n"); printf("number of hops before local minimum is reached \n"); fprintf(Outfp,"number of hops before local minimum is reached \n"); for (i=0; i<10; i++) { printf("i=%d, h=%d \n",i,hismin[i]); fprintf(Outfp,"i=%d, h=%d \n",i,hismin[i]); } // // output histogram of j values for primary no-jumps // printf("\n"); fprintf(Outfp,"\n"); printf("j values for primary no-jumps \n"); fprintf(Outfp,"j values for primary no-jumps \n"); for (i=0; i<20; i++) { printf("i=%d, h=%d \n",i,histon[i]); fprintf(Outfp,"i=%d, h=%d \n",i,histon[i]); } // // // output histogram of j values for primary multiple-jumps // printf("\n"); fprintf(Outfp,"\n"); printf("j values for primary multiple-jumps \n"); fprintf(Outfp,"j values for primary multiple-jumps \n"); for (i=0; i<10; i++) { printf("i=%d, h=%d \n",i,histom[i]); fprintf(Outfp,"i=%d, h=%d \n",i,histom[i]); } // // last odd counts // printf("\n"); fprintf(Outfp,"\n"); printf("no-jump count=%d, one-jump count=%d, jumped-over count=%d \n",county,countn,countx); fprintf(Outfp,"no-jump count=%d, one-jump count=%d, jumped-over count=%d \n",county,countn,countx); // // output histogram of k values (for primary one-jump attachment points) // printf("primary one-jump attachment points, last odd not equal to locmax \n"); fprintf(Outfp,"primary one-jump attachment points, last odd not equal to locmax \n"); printf("c=%d \n",hflag); fprintf(Outfp,"c=%d \n",hflag); flag=99; for (i=99; i>0; i--) { if (newhis[i]==0) flag=flag-1; else break; } if (flag==0) goto nskip; first=0; for (i=0; i<=(int)flag; i++) { if ((newhis[i]==0)&&(first==0)) continue; first=1; printf("i=%d, h[i]=%d \n",i-offset,newhis[i]); fprintf(Outfp,"i=%d, h[i]=%d \n",i-offset,newhis[i]); } // // output histogram of k values (for primary one-jump attachment points) // nskip: printf("\n"); fprintf(Outfp,"\n"); printf("primary one-jump attachment points, element several hops away from u equal to locmin (oldhis) \n"); fprintf(Outfp,"primary one-jump attachment points, element several hops away from u equal to locmin (oldhis) \n"); printf("c=%d \n",hflag); fprintf(Outfp,"c=%d \n",hflag); flag=99; for (i=99; i>0; i--) { if (oldhis[i]==0) flag=flag-1; else break; } first=0; for (i=0; i<=(int)flag; i++) { if ((oldhis[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d \n",i-offset,oldhis[i]); printf("i=%d, h[i]=%d \n",i-offset,oldhis[i]); } printf("\n"); fprintf(Outfp,"\n"); // // output histogram of k values (for primary one-jump attachment points) // printf("primary one-jump attachment points, u (or element several hops away from u) not equal to locmin (histoe) \n"); fprintf(Outfp,"primary one-jump attachment points, u (or element several hops away from u) not equal to locmin (histoe)\n"); flag=99; for (i=99; i>0; i--) { if (histoe[i]==0) flag=flag-1; else break; } first=0; for (i=0; i<=(int)flag; i++) { if ((histoe[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d \n",i-offset,histoe[i]); printf("i=%d, h[i]=%d \n",i-offset,histoe[i]); } printf("\n"); fprintf(Outfp,"\n"); // // output histogram of odds minus jumps plus hops minus evens // printf("sum of odds minus number of jumps plus number of hops minus sum of evens (global) \n"); fprintf(Outfp,"sum of odds minus number of jumps plus number of hops minus sum of evens (global, histoh) \n"); flag=99; for (i=99; i>0; i--) { if (histoh[i]==0) flag=flag-1; else break; } first=0; for (i=0; i<=(int)flag; i++) { if ((histoh[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset1,histoh[i]); printf("i=%d, h[i]=%d \n",i-offset1,histoh[i]); } printf("\n"); fprintf(Outfp,"\n"); // // output histogram of odds minus jumps plus hops minus evens // printf("number of odds minus number of jumps plus number of hops minus number of evens (local) \n"); fprintf(Outfp,"number of odds minus number of jumps plus number of hops minus number of evens (local, histoi) \n"); flag=99; for (i=99; i>0; i--) { if (histoi[i]==0) flag=flag-1; else break; } first=0; for (i=0; i<=(int)flag; i++) { if ((histoi[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset,histoi[i]); printf("i=%d, h[i]=%d \n",i-offset,histoi[i]); } printf("\n"); fprintf(Outfp,"\n"); // // output histogram of j minus number of evens plus number of hops minus number of jumps // printf("j minus number of evens plus number of hops minus number of jumps (local) \n"); fprintf(Outfp,"j minus number of evens plus number of hops minus number of jumps (local, histox) \n"); flag=99; for (i=99; i>0; i--) { if (histox[i]==0) flag=flag-1; else break; } first=0; for (i=0; i<=(int)flag; i++) { if ((histox[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset,histox[i]); printf("i=%d, h[i]=%d \n",i-offset,histox[i]); } printf("\n"); fprintf(Outfp,"\n"); // // output histogram of j minus number of evens (local) // printf("j minus number of evens (local) \n"); fprintf(Outfp,"j minus number of evens (local, histoy) \n"); flag=99; for (i=99; i>0; i--) { if (histoy[i]==0) flag=flag-1; else break; } first=0; sum=0; tempi=0; for (i=0; i<=(int)flag; i++) { if ((histoy[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset,histoy[i]); printf("i=%d, h[i]=%d \n",i-offset,histoy[i]); sum=sum+histoy[i]*(i-offset); tempi=tempi+histoy[i]; } mean=(double)sum/(double)tempi; first=0; var=0.0; for (i=0; i<=(int)flag; i++) { if ((histoy[i]==0)&&(first==0)) continue; first=1; tempf=(double)i-(double)offset-mean; var=var+tempf*tempf*(double)histoy[i]; } var=var/(double)(tempi-1); std=sqrt(var); printf("mean=%e, standard deviation=%e \n",mean,std); fprintf(Outfp,"mean=%e, standard deviation=%e \n",mean,std); printf("\n"); fprintf(Outfp,"\n"); // // output histogram of j minus number of evens (global) // printf("j minus number of evens (global) \n"); fprintf(Outfp,"j minus number of evens (global, histov) \n"); flag=99; for (i=99; i>0; i--) { if (histov[i]==0) flag=flag-1; else break; } first=0; for (i=0; i<=(int)flag; i++) { if ((histov[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset2,histov[i]); printf("i=%d, h[i]=%d \n",i-offset2,histov[i]); } printf("\n"); fprintf(Outfp,"\n"); // // output histogram of number of hops minus number of jumps (local) // printf("number of hops minus number of jumps (local) \n"); fprintf(Outfp,"number of hops minus number of jumps (local, histoz) \n"); flag=99; for (i=99; i>0; i--) { if (histoz[i]==0) flag=flag-1; else break; } first=0; for (i=0; i<=(int)flag; i++) { if ((histoz[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset,histoz[i]); printf("i=%d, h[i]=%d \n",i-offset,histoz[i]); } printf("\n"); fprintf(Outfp,"\n"); // // output histogram of number of hops minus number of jumps (global) // printf("number of hops minus number of jumps (global) \n"); fprintf(Outfp,"number of hops minus number of jumps (global, histow) \n"); flag=99; for (i=99; i>0; i--) { if (histow[i]==0) flag=flag-1; else break; } first=0; for (i=0; i<=(int)flag; i++) { if ((histow[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset,histow[i]); printf("i=%d, h[i]=%d \n",i-offset,histow[i]); } printf("\n"); fprintf(Outfp,"\n"); // // output histogram of odds minus evens (global) // printf("sum of odds minus sum of evens (global) \n"); fprintf(Outfp,"sum of odds minus sum of evens (global, histos) \n"); flag=99; for (i=99; i>0; i--) { if (histos[i]==0) flag=flag-1; else break; } first=0; for (i=0; i<=(int)flag; i++) { if ((histos[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset1,histos[i]); printf("i=%d, h[i]=%d \n",i-offset1,histos[i]); } // // output histogram of odds minus evens (global) (L=K) // printf("\n"); fprintf(Outfp,"\n"); printf("sum of odds minus sum of evens (global, L=K) \n"); fprintf(Outfp,"sum of odds minus sum of evens (global, L=K, histof) \n"); flag=99; for (i=99; i>0; i--) { if (histof[i]==0) flag=flag-1; else break; } first=0; for (i=0; i<=(int)flag; i++) { if ((histof[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset1,histof[i]); printf("i=%d, h[i]=%d \n",i-offset1,histof[i]); } // // output histogram of odds minus evens (local) // printf("\n"); fprintf(Outfp,"\n"); printf("odds minus evens (local) \n"); fprintf(Outfp,"odds minus evens (local, histor) \n"); flag=99; for (i=99; i>0; i--) { if (histor[i]==0) flag=flag-1; else break; } first=0; for (i=0; i<=(int)flag; i++) { if ((histor[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset,histor[i]); printf("i=%d, h[i]=%d \n",i-offset,histor[i]); } // // output histogram of j minus evens (continued-fraction convergents) // printf("\n"); fprintf(Outfp,"\n"); printf("j minus evens (convergents) \n"); fprintf(Outfp,"j minus evens (convergents, local, histot) \n"); flag=29; for (i=29; i>0; i--) { if (histot[i]==0) flag=flag-1; else break; } sum=0; tempi=0; first=0; for (i=0; i<=(int)flag; i++) { if ((histot[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset4,histot[i]); printf("i=%d, h[i]=%d \n",i-offset4,histot[i]); sum=sum+histot[i]*(i-offset4); tempi=tempi+histot[i]; } mean=(double)sum/(double)tempi; printf("n=%d, sum=%d, mean=%e \n",tempi,sum,mean); fprintf(Outfp,"n=%d, sum=%d, mean=%e \n",tempi,sum,mean); // // output histogram of j minus evens (continued-fraction convergents) // printf("\n"); fprintf(Outfp,"\n"); printf("j minus evens (convergents, global) \n"); fprintf(Outfp,"j minus evens (convergents, global, histou) \n"); flag=29; for (i=29; i>0; i--) { if (histou[i]==0) flag=flag-1; else break; } first=0; for (i=0; i<=(int)flag; i++) { if ((histou[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset4,histou[i]); printf("i=%d, h[i]=%d \n",i-offset4,histou[i]); } // // output histogram of j minus evens (continued-fraction convergents) // printf("\n"); fprintf(Outfp,"\n"); printf("j minus evens (convergents, evens equal odds) \n"); fprintf(Outfp,"j minus evens (convergents, evens equal odds, local, histoa) \n"); flag=29; for (i=29; i>0; i--) { if (histoa[i]==0) flag=flag-1; else break; } sum=0; tempi=0; first=0; for (i=0; i<=(int)flag; i++) { if ((histoa[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset4,histoa[i]); printf("i=%d, h[i]=%d \n",i-offset4,histoa[i]); sum=sum+histoa[i]*(i-offset4); tempi=tempi+histoa[i]; } mean=(double)sum/(double)tempi; printf("n=%d, sum=%d, mean=%e \n",tempi,sum,mean); fprintf(Outfp,"n=%d, sum=%d, mean=%e \n",tempi,sum,mean); // // output histogram of j minus evens (continued-fraction convergents) // printf("\n"); fprintf(Outfp,"\n"); printf("j minus evens (convergents, evens equal odds, global) \n"); fprintf(Outfp,"j minus evens (convergents, evens equal odds, global, histob) \n"); flag=29; for (i=29; i>0; i--) { if (histob[i]==0) flag=flag-1; else break; } first=0; for (i=0; i<=(int)flag; i++) { if ((histob[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset5,histob[i]); printf("i=%d, h[i]=%d \n",i-offset5,histob[i]); } // // output histogram // printf("\n"); fprintf(Outfp,"\n"); printf("residue \n"); fprintf(Outfp,"residue \n" ); flag=399; for (i=399; i>0; i--) { if (histoc[i]==0) flag=flag-1; else break; } first=0; for (i=0; i<=(int)flag; i++) { if ((histoc[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i,histoc[i]); printf("i=%d, h[i]=%d \n",i,histoc[i]); } // // output histogram // printf("\n"); fprintf(Outfp,"\n"); printf("3*log(c)-a \n"); fprintf(Outfp,"3*log(c)-a \n" ); flag=399; for (i=399; i>0; i--) { if (histod[i]==0) flag=flag-1; else break; } first=0; for (i=0; i<=(int)flag; i++) { if ((histod[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset6,histod[i]); printf("i=%d, h[i]=%d \n",i-offset6,histod[i]); } // // output histogram // printf("\n"); fprintf(Outfp,"\n"); printf("3*log(c)-a ((L,K) in table) \n"); fprintf(Outfp,"3*log(c)-a ((L,K) in table)\n" ); flag=399; for (i=399; i>0; i--) { if (histodd[i]==0) flag=flag-1; else break; } first=0; for (i=0; i<=(int)flag; i++) { if ((histodd[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset6,histodd[i]); printf("i=%d, h[i]=%d \n",i-offset6,histodd[i]); } // // output histogram // printf("\n"); fprintf(Outfp,"\n"); printf("number of primary attachment points minus number of hops \n"); fprintf(Outfp,"number of primary attachment points minus number of hops \n"); flag=199; for (i=199; i>0; i--) { if (histoo[i]==0) flag=flag-1; else break; } first=0; for (i=0; i<=(int)flag; i++) { if ((histoo[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset2,histoo[i]); printf("i=%d, h[i]=%d \n",i-offset2,histoo[i]); } printf("\n"); fprintf(Outfp,"\n"); printf("cycle count=%d, multiple-jump count=%d, two-jump count=%d, non-adjacent count=%d \n",cyccnt,mcount,twojmp,jmphop); printf("total jumps (in multiple-jumps)=%d, total hops (in multiple-jumps)=%d \n",glojmp,glohop); printf("hop/hop=%d, jump/hop=%d, hop/jump=%d, jump/jump=%d \n",twojmp0,twojmp1,twojmp2,twojmp3); fprintf(Outfp,"cycle count=%d, multiple-jump count=%d, two-jump count=%d, non=adjacent count=%d \n",cyccnt,mcount,twojmp,jmphop); fprintf(Outfp,"total jumps (in multiple-jumps)=%d, total hops (in multiple-jumps)=%d \n",glojmp,glohop); fprintf(Outfp,"hop/hop=%d, jump/hop=%d, hop/jump=%d, jump/jump=%d \n",twojmp0,twojmp1,twojmp2,twojmp3); printf("primary attachment points=%d \n",primary); fprintf(Outfp,"primary attachment points=%d \n",primary); printf("bad t chains=%d, bad u chains=%d, bad t-u chains=%d \n",badcnt,badcntu,badtucnt); fprintf(Outfp,"bad t chains=%d, bad u chains=%d, bad t-u chains=%d \n",badcnt,badcntu,badtucnt); printf("bad comparisons=%d, other comparisons=%d, maximum=%e \n",badcomp,compcnt,maxcmp); fprintf(Outfp,"bad comparisons=%d, other comparisons=%d, maximum=%e \n",badcomp,compcnt,maxcmp); printf("cycle count=%d, cycle count=%d (convergents) \n",cyccntu,cyccntb); fprintf(Outfp,"cycle count=%d, cycle count=%d (convergents) \n",cyccntu,cyccntb); printf("evens equal odds, bad comparison count=%d \n",equcnt); fprintf(Outfp,"evens equal odds, bad comparison count=%d \n",equcnt); printf("maximum ratio=%e, minimum ratio=%e, count=%d, c=%d, k=%d, c=%d, k=%d \n",maxminrat,minmaxrat,lamcnt,savec,ksave,savecp,ksavep); fprintf(Outfp,"maximum ratio=%e, minimum ratio=%e, count=%d, c=%d, k=%d, c=%d, k=%d \n",maxminrat,minmaxrat,lamcnt,savec,ksave,savecp,ksavep); printf("maximum ratio=%e, minimum ratio=%e, count=%d \n",maxminratc,minmaxratc,lamcntc); fprintf(Outfp,"maximum ratio=%e, minimum ratio=%e, count=%d \n",maxminratc,minmaxratc,lamcntc); printf("flubs=%d, maximum ratio=%e, flubs=%d, pcount=%d \n",flubx,maxdiff,flubs,pcount); fprintf(Outfp,"flubs=%d, maximum ratio=%e, flubs=%d, pcount=%d \n",flubx,maxdiff,flubs,pcount); printf("\n"); fprintf(Outfp,"\n"); printf("histogram of chain counts \n"); fprintf(Outfp,"histogram of chain counts \n"); for (i=0; i<40; i++) { printf("i=%d, count=%d \n",i,chhist[i]); fprintf(Outfp,"i=%d, count=%d \n",i,chhist[i]); } printf("\n"); fprintf(Outfp,"\n"); for (i=0; i<40; i++) { printf("i=%d, count=%d \n",i,onehist[i]); fprintf(Outfp,"i=%d, count=%d \n",i,onehist[i]); } printf("\n"); fprintf(Outfp,"\n"); printf("powers for specified a value \n"); fprintf(Outfp,"powers for specified a value \n"); for (i=0; i<40; i++) { printf("i=%d, counts=%d, %d, %d \n",i,d1hist[i],d2hist[i],d3hist[i]); fprintf(Outfp,"i=%d, counts=%d, %d, %d \n",i,d1hist[i],d2hist[i],d3hist[i]); } printf("\n"); fprintf(Outfp,"\n"); printf("count=%d \n",onecnt); fprintf(Outfp,"count=%d \n",onecnt); for (i=0; i<27; i++) { printf("i=%d, c=%d, c=%d, c=%d \n",i,concov[3*i],concov[3*i+1],concov[3*i+2]); fprintf(Outfp,"i=%d, c=%d, c=%d \n",i,concov[3*i],concov[3*i+1],concov[3*i+2]); } printf("\n"); fprintf(Outfp,"\n"); for (i=0; i<27; i++) { printf("i=%d, c=%d, c=%d, c=%d \n",i,concove[3*i],concove[3*i+1],concove[3*i+2]); fprintf(Outfp,"i=%d, c=%d, c=%d \n",i,concove[3*i],concove[3*i+1],concove[3*i+2]); } printf("\n"); fprintf(Outfp,"\n"); printf("count=%d \n",outklind); fprintf(Outfp,"count=%d \n",outklind); wrap=0; for (i=0; i<outklind; i++) { printf("%d,%d,",outkl[2*i],outkl[2*i+1]); fprintf(Outfp,"%d,%d,",outkl[2*i],outkl[2*i+1]); wrap=wrap+1; if (wrap==10) { wrap=0; printf("\n"); fprintf(Outfp,"\n"); } } printf("\n"); fprintf(Outfp,"\n"); wrap=0; for (i=0; i<200; i++) { printf("%d,",outcnt[i]); fprintf(Outfp,"%d,",outcnt[i]); wrap=wrap+1; if (wrap==20) { wrap=0; printf("\n"); fprintf(Outfp,"\n"); } } zskip: fclose(Outfp); return(0); }